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?

  • 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?

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

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

<p>k^2A (C)</p> Signup and view all the answers

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

<p>4Ï€r^2 (D)</p> Signup and view all the answers

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

<p>l × b × h (A)</p> 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?

<p>k^2V (B)</p> 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?

<p>kA (D)</p> 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?

<p>k^3V (B)</p> Signup and view all the answers

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

<p>(a + b)h/2 (C)</p> 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?

<p>kA (B)</p> Signup and view all the answers

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

<p>(1/3)Ï€r^2h (A)</p> Signup and view all the answers

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

<p>k^2A (D)</p> Signup and view all the answers

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

<p>bh (B)</p> 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?

<p>k^2V (D)</p> Signup and view all the answers

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

<p>900Ï€ cubic units (B)</p> 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?

<p>800 square units (C)</p> Signup and view all the answers

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

<p>144Ï€ square units (A)</p> 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?

<p>30 square units (A)</p> 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?

<p>30 cubic units (A)</p> Signup and view all the answers

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

<p>8Ï€/9 square units (B)</p> 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?

<p>60 square units (A)</p> Signup and view all the answers

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

<p>240Ï€ square units (B)</p> 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?

<p>k^3V (C)</p> Signup and view all the answers

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

<p>2kπr (A)</p> 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?

<p>kb(h_b + 3h_s) (B)</p> 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?

<p>200 square units (A)</p> 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?

<p>2Ï€r(kh + r) (B)</p> Signup and view all the answers

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

<p>216Ï€ square units (D)</p> 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?

<p>kV (A)</p> Signup and view all the answers

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

<p>200Ï€ square units (C)</p> 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?

<p>It increases by a factor of k^2. (B)</p> 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?

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

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

<p>360Ï€ square units (D)</p> 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?

<p>1/2 b (hb + 3hs) (A)</p> 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?

<p>240 cubic units (D)</p> Signup and view all the answers

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