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)</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</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

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

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

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

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

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

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

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

    <p>bh</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</p> 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?

    <p>900π cubic units</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</p> 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?

    <p>144π square units</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</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</p> 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?

    <p>8π/9 square units</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</p> 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?

    <p>240π square units</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</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</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)</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</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>2πr(kh + r)</p> 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?

    <p>216π square units</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</p> 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?

    <p>200π square units</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.</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.</p> 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?

    <p>360π square units</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)</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</p> Signup and view all the answers

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