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Gr 11 Math Ch 7 SUM: Measurement
106 Questions
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Gr 11 Math Ch 7 SUM: Measurement

Created by
@GreatestTiger

Questions and Answers

What is the formula to find the area of a square?

$s^2$

What is the formula to find the area of a triangle?

$rac{1}{2} b imes h$

What is the formula to find the area of a circle?

$\pi r^2$

What is a right prism?

<p>A geometric solid with a polygon as its base and vertical sides perpendicular to the base</p> Signup and view all the answers

How do you calculate the surface area of a prism or cylinder?

<p>By adding the areas of each face</p> Signup and view all the answers

What makes up the net of a triangular prism?

<p>Two triangles and three rectangles</p> Signup and view all the answers

What is the shape of the net of a cylinder?

<p>Two identical circles and a rectangle</p> Signup and view all the answers

What is the formula to find the area of a trapezium?

<p>$rac{1}{2} (a + b) imes h$</p> Signup and view all the answers

What is the formula for the surface area of a square pyramid?

<p>b(b + 2h_s)</p> Signup and view all the answers

Which of the following shapes has a volume of πr²h?

<p>Right Cylinder</p> Signup and view all the answers

If the dimensions of a shape are multiplied by a factor of k, how does its volume change?

<p>It scales by k³</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4πr²</p> Signup and view all the answers

If the dimensions of a shape are multiplied by a factor of k, how does its surface area change?

<p>It scales by k²</p> Signup and view all the answers

What is the formula for the volume of a triangular pyramid?

<p>(1/3)(1/2)bhH</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>½b × h × H</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4πr²</p> Signup and view all the answers

If the dimensions of a rectangular prism are multiplied by a constant factor k, what happens to its volume?

<p>It increases by a factor of k³</p> Signup and view all the answers

What is the formula for the volume of a cylinder?

<p>πr² × h</p> Signup and view all the answers

What is the formula for the surface area of a square pyramid?

<p>b² + 4bh</p> Signup and view all the answers

If the height of a rectangular prism is multiplied by a constant factor k, what happens to its surface area?

<p>It increases by a factor of 2k</p> Signup and view all the answers

What is the formula for the volume of a right cone?

<p>⅓πr² × h</p> Signup and view all the answers

What happens to the volume of a rectangular prism when one of its dimensions is multiplied by a constant factor k?

<p>It increases by a factor of k</p> Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

<p>½bh + 3bh/2</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>4/3πr³</p> Signup and view all the answers

What is the formula to find the area of a rectangle?

<p>b × h</p> Signup and view all the answers

What is the formula to find the area of a parallelogram?

<p>b × h</p> Signup and view all the answers

What shape is made up of two identical circles and a rectangle when unfolded into a net?

<p>Cylinder</p> Signup and view all the answers

What is the sum of the lengths of the rectangles in a triangular prism when unfolded into a net?

<p>Perimeter of the base</p> Signup and view all the answers

How many rectangles are in a rectangular prism when unfolded into a net?

<p>6</p> Signup and view all the answers

What is the shape of the base of a right prism?

<p>Polygon</p> Signup and view all the answers

What is the formula to find the circumference of a circle?

<p>2πr</p> Signup and view all the answers

What is the formula to find the area of a trapezium?

<p>(a + b) × h</p> Signup and view all the answers

What is the formula to find the surface area of a right cone?

<p>πr(r + h)</p> Signup and view all the answers

What is the formula to find the volume of a triangular pyramid?

<p>1/3bhH</p> Signup and view all the answers

If the dimensions of a cylinder are multiplied by a factor of k, how does its surface area change?

<p>Increases by k^2</p> Signup and view all the answers

What is the formula to find the surface area of a triangular pyramid?

<p>1/2b(h_b + 3h_s)</p> Signup and view all the answers

If the dimensions of a rectangular prism are multiplied by a factor of k, how does its volume change?

<p>Increases by k^3</p> Signup and view all the answers

What is the formula to find the volume of a square pyramid?

<p>1/3b^2H</p> Signup and view all the answers

What is the formula for the volume of a right pyramid?

<p>1/3 × base area × height</p> Signup and view all the answers

What happens to the surface area of a rectangular prism if one of its dimensions is multiplied by a constant factor k?

<p>It increases by a factor of k</p> Signup and view all the answers

What is the formula for the surface area of a right cone?

<p>πr(r + h)</p> Signup and view all the answers

What is the formula for the volume of a rectangular prism if its dimensions are l, b, and h?

<p>l × b × h</p> Signup and view all the answers

What happens to the volume of a rectangular prism if all its dimensions are multiplied by a constant factor k?

<p>It increases by a factor of k^3</p> Signup and view all the answers

What is the formula for the surface area of a square pyramid?

<p>b(b + 2hs)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>4/3πr^3</p> Signup and view all the answers

What happens to the volume of a triangular prism if its height is multiplied by a constant factor k?

<p>It increases by a factor of k</p> Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

<p>1/2b(hb + 3hs)</p> Signup and view all the answers

What happens to the surface area of a rectangular prism if two of its dimensions are multiplied by a constant factor k?

<p>It increases by a factor of k^2</p> Signup and view all the answers

What is the formula for the area of a polygon with a base of b and a height of h?

<p>bh</p> Signup and view all the answers

What is the shape of a prism that has a triangle as its base and vertical sides perpendicular to the base?

<p>Triangular prism</p> Signup and view all the answers

What is the total area of the exposed or outer surfaces of a prism?

<p>Surface area</p> Signup and view all the answers

What is the shape of a net of a cylinder?

<p>Two identical circles and a rectangle</p> Signup and view all the answers

What is the formula for the area of a polygon with parallel sides of a and b, and a height of h?

<p>(a + b)h/2</p> Signup and view all the answers

What is the shape of a prism that has a square as its base and vertical sides perpendicular to the base?

<p>Square prism</p> Signup and view all the answers

What is the formula for the area of a polygon with a radius of r?

<p>πr^2</p> Signup and view all the answers

What is the shape of a prism that has a rectangle as its base and vertical sides perpendicular to the base?

<p>Rectangular prism</p> Signup and view all the answers

What is the formula to find the surface area of a triangular pyramid, with base area b and slant height hs?

<p>½ b (hb + 3hs)</p> Signup and view all the answers

A rectangular prism has dimensions 2, 3, and 4. If its dimensions are multiplied by a factor of 2, what is the ratio of its new surface area to its original surface area?

<p>4:1</p> Signup and view all the answers

What is the formula to find the volume of a right cone, with radius r and height h?

<p>⅓πr²h</p> Signup and view all the answers

A triangular prism has a base area of 10, and a height of 5. If its dimensions are multiplied by a factor of 3, what is its new volume?

<p>450</p> Signup and view all the answers

What is the formula to find the surface area of a sphere, with radius r?

<p>4πr²</p> Signup and view all the answers

A square pyramid has a base area of 16, and a height of 10. If its dimensions are multiplied by a factor of 2, what is its new surface area?

<p>192</p> Signup and view all the answers

What is the formula to find the volume of a right pyramid with a rectangular base?

<p>1/3 × bh × H</p> Signup and view all the answers

What is the formula to find the surface area of a triangular pyramid with a base of length b and height hb?

<p>b(b + 3hb)</p> Signup and view all the answers

What happens to the surface area of a rectangular prism if two of its dimensions are multiplied by a constant factor k?

<p>It increases by a factor of k²</p> Signup and view all the answers

What is the formula to find the volume of a right cone with a base radius r and height h?

<p>1/3 × πr²h</p> Signup and view all the answers

What is the formula to find the surface area of a sphere with a radius r?

<p>4πr²</p> Signup and view all the answers

What happens to the volume of a cylinder if its radius is multiplied by a constant factor k?

<p>It increases by a factor of k²</p> Signup and view all the answers

What is the formula to find the surface area of a triangular pyramid with a base of length b and height hb?

<p>1/2 × b(hb + 2h)</p> Signup and view all the answers

What is the formula to find the volume of a square pyramid with a base length b and height h?

<p>1/3 × b²h</p> Signup and view all the answers

What happens to the volume of a rectangular prism if all its dimensions are multiplied by a constant factor k?

<p>It increases by a factor of k³</p> Signup and view all the answers

What is the formula to find the surface area of a right cone with a base radius r and height h?

<p>πr(r + h)</p> Signup and view all the answers

What is the base shape of a triangular prism?

<p>Triangle</p> Signup and view all the answers

What is the benefit of unfolding a prism or cylinder into a net?

<p>To find its surface area</p> Signup and view all the answers

What is the shape of a prism that has a rectangle as its base and vertical sides perpendicular to the base?

<p>Rectangular prism</p> Signup and view all the answers

What is the formula to find the area of a polygon with a base of b and a height of h?

<p>b × h</p> Signup and view all the answers

What is the formula to find the surface area of a rectangle?

<p>2 × (b + h)</p> Signup and view all the answers

What is the shape of a prism that has a circle as its base and vertical sides perpendicular to the base?

<p>Cylinder</p> Signup and view all the answers

What is the formula to find the area of a parallelogram with a base of b and a height of h?

<p>b × h</p> Signup and view all the answers

What is the shape of a prism that has a square as its base and vertical sides perpendicular to the base?

<p>Cube</p> Signup and view all the answers

If the dimensions of a square pyramid are multiplied by a factor of k, what happens to its surface area?

<p>It increases by a factor of k²</p> Signup and view all the answers

What is the ratio of the surface area of a sphere to the surface area of a cylinder with the same radius and height?

<p>1:π</p> Signup and view all the answers

If a triangular pyramid has a base with side length b and height h, and a slant height of hs, what is its surface area?

<p>bh + (3/2)hs</p> Signup and view all the answers

What is the volume of a cone with a radius of r and a height of h, in terms of π?

<p>(1/3)πr²h</p> Signup and view all the answers

If a rectangular prism has a length of l, a width of b, and a height of h, what is its surface area?

<p>2lb + 2lh + 2bh</p> Signup and view all the answers

What is the ratio of the volume of a cone to the volume of a cylinder with the same radius and height?

<p>1:3</p> Signup and view all the answers

If the dimensions of a right pyramid are multiplied by a factor of k, what happens to its volume?

<p>The volume increases by a factor of k^3</p> Signup and view all the answers

What is the surface area of a triangular prism with base area b and height h, and three sides of equal length s?

<p>b + 2hs + s^2</p> Signup and view all the answers

If the dimensions of a cylinder are multiplied by a factor of k, what happens to its surface area?

<p>The surface area increases by a factor of k^2</p> Signup and view all the answers

What is the volume of a triangular pyramid with base area b and height H?

<p>1/3bH</p> Signup and view all the answers

If the height of a rectangular prism is multiplied by a constant factor k, what happens to its surface area?

<p>The surface area increases by a factor of k</p> Signup and view all the answers

What is the formula for the surface area of a right cone with radius r and height h?

<p>πr(r + h)</p> Signup and view all the answers

If the dimensions of a sphere are multiplied by a factor of k, what happens to its volume?

<p>The volume increases by a factor of k^3</p> Signup and view all the answers

What is the surface area of a square pyramid with base side b and slant height s?

<p>b^2 + 4bs</p> Signup and view all the answers

If the dimensions of a right cone are multiplied by a factor of k, what happens to its surface area?

<p>The surface area increases by a factor of k^2</p> Signup and view all the answers

What is the volume of a rectangular prism with dimensions l, b, and h, if the length is multiplied by a factor of k?

<p>klbh</p> Signup and view all the answers

What is the formula for the surface area of a right cone?

<p>πr(r + h)</p> Signup and view all the answers

If the dimensions of a shape are multiplied by a factor of k, how does its volume change?

<p>it increases by a factor of k^3</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>1/2bhH</p> Signup and view all the answers

If the dimensions of a shape are multiplied by a factor of k, how does its surface area change?

<p>it increases by a factor of k^2</p> Signup and view all the answers

What is the formula for the surface area of a square pyramid?

<p>b(b + 2hs)</p> Signup and view all the answers

What is the formula for the volume of a cylinder?

<p>πr^2h</p> Signup and view all the answers

What is the formula for the volume of a square pyramid?

<p>1/3b^2H</p> Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

<p>1/2b(hb + 3hs)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>4/3πr^3</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4πr^2</p> Signup and view all the answers

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