Gr 11 Math Ch 7: Multiplying a dimension by a constant Factor

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If the length of a rectangular prism is multiplied by a constant factor k, what is the new volume?

kV (correct)

V/k^2

V/k

k^2V

What is the surface area of a rectangular prism with dimensions l, b, and h, if all three dimensions are multiplied by a constant factor k?

k^2A (correct)

A/k

k^3A

kA

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

2[klh + lb + kbh] (correct)

A/k^2

A/k

kA

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

b (b + 2h_s) Signup and view all the answers

If the radius of a circle is multiplied by a constant factor k, what is the new area?

k^2A Signup and view all the answers

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

4πr^2 Signup and view all the answers

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

l × b × h Signup and view all the answers

If the length and width of a rectangular prism are multiplied by a constant factor k, what is the new volume?

k^2V Signup and view all the answers

If the base of a rectangular prism is multiplied by a constant factor k, what is the new surface area?

kA Signup and view all the answers

If a rectangular prism has dimensions l, b, and h, and all three dimensions are multiplied by a constant factor k, what is the new volume?

k^3V Signup and view all the answers

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

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

If the height of a cylinder is multiplied by a constant factor k, what is the new surface area?

kA Signup and view all the answers

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

(1/3)πr^2h Signup and view all the answers

If the radius of a circle is multiplied by a constant factor k, what is the new area?

k^2A Signup and view all the answers

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

bh Signup and view all the answers

If two dimensions of a rectangular prism are multiplied by a constant factor k, what is the new volume?

k^2V Signup and view all the answers

If a cylinder has a volume of 100π cubic units and its height is tripled, what will be its new volume?

900π cubic units Signup and view all the answers

If a rectangular prism has a surface area of 100 square units and its length and width are both doubled, what will be its new surface area?

800 square units Signup and view all the answers

If a sphere has a surface area of 16π square units and its radius is tripled, what will be its new surface area?

144π square units Signup and view all the answers

If a triangular pyramid has a surface area of 10 square units and its base is doubled, what will be its new surface area?

30 square units Signup and view all the answers

If a rectangular prism has a volume of 60 cubic units and its height is multiplied by 2/3, what will be its new volume?

30 cubic units Signup and view all the answers

If a circle has an area of 4π square units and its radius is multiplied by 2/3, what will be its new area?

8π/9 square units Signup and view all the answers

If a trapezium has an area of 20 square units and its height is tripled, what will be its new area?

60 square units Signup and view all the answers

If a cylinder has a surface area of 60π square units and its radius is doubled, what will be its new surface area?

240π square units Signup and view all the answers

If the length, width, and height of a rectangular prism are multiplied by a constant factor k, what is the new volume?

k^3V Signup and view all the answers

If the radius of a circle is multiplied by a constant factor k, what is the new circumference?

2kπr Signup and view all the answers

If the base of a triangular pyramid is multiplied by a constant factor k, what is the new surface area?

kb(h_b + 3h_s) Signup and view all the answers

A rectangular prism has a surface area of 50 square units. If its length and width are both multiplied by a constant factor k = 2, what is the new surface area?

200 square units Signup and view all the answers

If the height of a cylinder is multiplied by a constant factor k, what is the new surface area?

2πr(kh + r) Signup and view all the answers

A sphere has a surface area of 36π square units. If its radius is multiplied by a constant factor k = 3, what is the new surface area?

216π square units Signup and view all the answers

If one dimension of a rectangular prism is multiplied by a constant factor k, what is the new volume?

kV Signup and view all the answers

A right cone has a surface area of 50π square units. If its radius is multiplied by a constant factor k = 2, what is the new surface area?

200π square units Signup and view all the answers

If the length and width of a rectangular prism are multiplied by a constant factor k, what is the effect on its surface area?

It increases by a factor of k^2. Signup and view all the answers

What is the effect on the volume of a rectangular prism if all its dimensions are multiplied by a constant factor k?

It increases by a factor of k^3. Signup and view all the answers

A cylinder has a surface area of 80π square units. If its radius is tripled, what will be its new surface area?

360π square units Signup and view all the answers

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

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

A rectangular prism has a volume of 120 cubic units. If its height is multiplied by a constant factor k = 2, what will be its new volume?

240 cubic units Signup and view all the answers

Gr 11 Math Ch 7: Multiplying a dimension by a constant Factor

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Questions and Answers

If the length of a rectangular prism is multiplied by a constant factor k, what is the new volume?

What is the surface area of a rectangular prism with dimensions l, b, and h, if all three dimensions are multiplied by a constant factor k?

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

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

If the radius of a circle is multiplied by a constant factor k, what is the new area?

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

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

If the length and width of a rectangular prism are multiplied by a constant factor k, what is the new volume?

If the base of a rectangular prism is multiplied by a constant factor k, what is the new surface area?

If a rectangular prism has dimensions l, b, and h, and all three dimensions are multiplied by a constant factor k, what is the new volume?

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

If the height of a cylinder is multiplied by a constant factor k, what is the new surface area?

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

If the radius of a circle is multiplied by a constant factor k, what is the new area?

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

If two dimensions of a rectangular prism are multiplied by a constant factor k, what is the new volume?

If a cylinder has a volume of 100π cubic units and its height is tripled, what will be its new volume?

If a rectangular prism has a surface area of 100 square units and its length and width are both doubled, what will be its new surface area?

If a sphere has a surface area of 16π square units and its radius is tripled, what will be its new surface area?

If a triangular pyramid has a surface area of 10 square units and its base is doubled, what will be its new surface area?

If a rectangular prism has a volume of 60 cubic units and its height is multiplied by 2/3, what will be its new volume?

If a circle has an area of 4π square units and its radius is multiplied by 2/3, what will be its new area?

If a trapezium has an area of 20 square units and its height is tripled, what will be its new area?

If a cylinder has a surface area of 60π square units and its radius is doubled, what will be its new surface area?

If the length, width, and height of a rectangular prism are multiplied by a constant factor k, what is the new volume?

If the radius of a circle is multiplied by a constant factor k, what is the new circumference?

If the base of a triangular pyramid is multiplied by a constant factor k, what is the new surface area?

A rectangular prism has a surface area of 50 square units. If its length and width are both multiplied by a constant factor k = 2, what is the new surface area?

If the height of a cylinder is multiplied by a constant factor k, what is the new surface area?

A sphere has a surface area of 36π square units. If its radius is multiplied by a constant factor k = 3, what is the new surface area?

If one dimension of a rectangular prism is multiplied by a constant factor k, what is the new volume?

A right cone has a surface area of 50π square units. If its radius is multiplied by a constant factor k = 2, what is the new surface area?

If the length and width of a rectangular prism are multiplied by a constant factor k, what is the effect on its surface area?

What is the effect on the volume of a rectangular prism if all its dimensions are multiplied by a constant factor k?

A cylinder has a surface area of 80π square units. If its radius is tripled, what will be its new surface area?

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

A rectangular prism has a volume of 120 cubic units. If its height is multiplied by a constant factor k = 2, what will be its new volume?

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