Gr 9 MATH: Ch 12.1 Surface Area and Volume of 3D Shapes
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Questions and Answers

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

  • SA = 6s^2 (correct)
  • SA = 4s^2
  • SA = 3s^2
  • SA = 5s^2
  • What is the formula for the volume of a rectangular prism?

  • V = l + w + h
  • V = 2lw + 2lh + 2wh
  • V = lw + lh + wh
  • V = l × w × h (correct)
  • What is the formula for the surface area of a cylinder?

  • SA = 4πr(h + r)
  • SA = 3πr(h + r)
  • SA = 2πr(h + r) (correct)
  • SA = πr(h + r)
  • What is the formula for the volume of a sphere?

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

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

    <p>SA = πr(l + r)</p> Signup and view all the answers

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

    <p>V = 1/3 lwh</p> Signup and view all the answers

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

    <p>SA = bh + 2ls + lb</p> Signup and view all the answers

    What is the formula for the volume of a cylinder?

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

    A cube has a surface area of 150 square centimeters. What is the volume of the cube?

    <p>562.5 cubic centimeters</p> Signup and view all the answers

    A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is its surface area?

    <p>78 square centimeters</p> Signup and view all the answers

    A cylinder has a radius of 4 cm and a height of 10 cm. What is its volume?

    <p>200π cubic centimeters</p> Signup and view all the answers

    A sphere has a radius of 5 cm. What is its surface area?

    <p>150π square centimeters</p> Signup and view all the answers

    A cone has a radius of 3 cm and a height of 12 cm. What is its slant height?

    <p>11 cm</p> Signup and view all the answers

    A rectangular pyramid has a length of 8 cm, a width of 6 cm, and a height of 10 cm. What is its volume?

    <p>200 cubic centimeters</p> Signup and view all the answers

    A triangular prism has a base length of 10 cm, a base height of 6 cm, and a length of 8 cm. What is its surface area?

    <p>168 square centimeters</p> Signup and view all the answers

    A cube has a volume of 343 cubic centimeters. What is its surface area?

    <p>324 square centimeters</p> Signup and view all the answers

    A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 6 cm. What is its surface area?

    <p>168 square centimeters</p> Signup and view all the answers

    A cylinder has a radius of 3 cm and a height of 8 cm. What is its surface area?

    <p>141.94 square centimeters</p> Signup and view all the answers

    A cone has a radius of 4 cm and a height of 12 cm. What is its volume?

    <p>134.08π cubic centimeters</p> Signup and view all the answers

    A sphere has a diameter of 12 cm. What is its volume?

    <p>904.32π cubic centimeters</p> Signup and view all the answers

    A triangular prism has a base length of 8 cm, a base height of 6 cm, and a length of 10 cm. What is its surface area?

    <p>126 square centimeters</p> Signup and view all the answers

    A cube has a surface area of 294 square centimeters. What is its volume?

    <p>343 cubic centimeters</p> Signup and view all the answers

    A rectangular pyramid has a length of 10 cm, a width of 8 cm, and a height of 12 cm. What is its surface area?

    <p>252 square centimeters</p> Signup and view all the answers

    A cylinder has a surface area of 352π square centimeters. If the height is 12 cm, what is the radius?

    <p>4.24 cm</p> Signup and view all the answers

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