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 = 4Ï€r(h + r)
  • SA = 3Ï€r(h + r)
  • SA = 2Ï€r(h + r) (correct)
  • SA = Ï€r(h + r)

What is the formula for the volume of a sphere?

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

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

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

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

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

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

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

What is the formula for the volume of a cylinder?

<p>V = πr^2h (B)</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 (D)</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 (A)</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>200Ï€ cubic centimeters (A)</p> Signup and view all the answers

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

<p>150Ï€ square centimeters (B)</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 (A)</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 (C)</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 (D)</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 (A)</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 (B)</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 (B)</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>134.08Ï€ cubic centimeters (B)</p> Signup and view all the answers

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

<p>904.32Ï€ cubic centimeters (A)</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 (A)</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 (A)</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 (C)</p> Signup and view all the answers

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

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

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