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Questions and Answers
The volume of a cone with base radius $r$ and perpendicular height $h$ is given by $\frac{1}{3}\pi r^2 l$, where $l$ is the slant height.
The volume of a cone with base radius $r$ and perpendicular height $h$ is given by $\frac{1}{3}\pi r^2 l$, where $l$ is the slant height.
False (B)
If a square pyramid has a base side of length $a$ and a slant height of $l$, then its total surface area is given by $a^2 + 4al$.
If a square pyramid has a base side of length $a$ and a slant height of $l$, then its total surface area is given by $a^2 + 4al$.
False (B)
If the side of a square is doubled, its area also doubles.
If the side of a square is doubled, its area also doubles.
False (B)
The curved surface area of a cylinder with base radius $r$ and perpendicular height $h$ is $2\pi r(r+h)$.
The curved surface area of a cylinder with base radius $r$ and perpendicular height $h$ is $2\pi r(r+h)$.
If the sides of a triangle are $a = 5$, $b = 6$, and $c = 7$, then, using Heron's formula, its area is $6\sqrt{6}$ square units.
If the sides of a triangle are $a = 5$, $b = 6$, and $c = 7$, then, using Heron's formula, its area is $6\sqrt{6}$ square units.
A rectangle with a length of 5cm and a width of 3cm has the same perimeter as a rectangle with a length of 6cm and a width of 2cm.
A rectangle with a length of 5cm and a width of 3cm has the same perimeter as a rectangle with a length of 6cm and a width of 2cm.
To convert from cubic meters ($m^3$) to liters (L), you should use the conversion factor 1 $m^3$ = 100 L.
To convert from cubic meters ($m^3$) to liters (L), you should use the conversion factor 1 $m^3$ = 100 L.
If the radius of a circle is increased by a factor of 3, the area increases by a factor of 6.
If the radius of a circle is increased by a factor of 3, the area increases by a factor of 6.
In a parallelogram, if the base is halved and the height is doubled, the area remains unchanged.
In a parallelogram, if the base is halved and the height is doubled, the area remains unchanged.
The total surface area of a cone with radius $r$ and slant height $l$ is $\pi r (l + r)$, this includes the base.
The total surface area of a cone with radius $r$ and slant height $l$ is $\pi r (l + r)$, this includes the base.
The volume of a cuboid with length $l$, width $w$, and height $h$ is given by $2(lw + wh + lh)$.
The volume of a cuboid with length $l$, width $w$, and height $h$ is given by $2(lw + wh + lh)$.
The volume of a cube with side length 's' is numerically equal to its surface area when $s = 6$.
The volume of a cube with side length 's' is numerically equal to its surface area when $s = 6$.
The surface area of a sphere with radius $r$ is equal to the curved surface area of a cylinder with radius $r$ and height $2r$.
The surface area of a sphere with radius $r$ is equal to the curved surface area of a cylinder with radius $r$ and height $2r$.
Doubling all the dimensions of a cuboid will result in doubling its volume.
Doubling all the dimensions of a cuboid will result in doubling its volume.
If two cylinders have the same radius but different heights, the cylinder with the greater height will always have the larger curved surface area.
If two cylinders have the same radius but different heights, the cylinder with the greater height will always have the larger curved surface area.
A cone and a cylinder have the same base radius and height, the volume of the cone is one-quarter the volume of the cylinder.
A cone and a cylinder have the same base radius and height, the volume of the cone is one-quarter the volume of the cylinder.
Flashcards
What is Mensuration?
What is Mensuration?
Deals with measuring geometric shapes, areas, and volumes.
What is Area?
What is Area?
The measure of the surface enclosed by a 2D shape.
What is Perimeter?
What is Perimeter?
Total length of the boundary of a 2D shape.
What is a Square?
What is a Square?
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What is a Rectangle?
What is a Rectangle?
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What is a Triangle?
What is a Triangle?
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What is a Circle?
What is a Circle?
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What is Volume?
What is Volume?
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Cone Volume Formula
Cone Volume Formula
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Cone Curved Surface Area
Cone Curved Surface Area
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Cone Total Surface Area
Cone Total Surface Area
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Cone Slant Height Formula
Cone Slant Height Formula
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Pyramid Volume
Pyramid Volume
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Square Pyramid Surface Area
Square Pyramid Surface Area
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Rectangle Formulas
Rectangle Formulas
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Cylinder Formulas
Cylinder Formulas
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Study Notes
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Description
Explore mensuration, the branch of mathematics focused on measuring geometric shapes. Learn to calculate the area and perimeter of squares, rectangles, and triangles. Understand the formulas for basic 2D shapes.
