Frustums Worksheet
This worksheet focuses on understanding and calculating properties of frustums, including volume and surface area.
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Frustums Exploration
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Read each question carefully and provide your answers in the space provided. Show all your work for calculations.
1. Define a frustum and describe how it is formed from a cone or pyramid.
2. Which of the following objects can be approximated as a frustum?
A perfect sphere
A cylindrical can
A lampshade
A rectangular prism
3. A frustum of a cone has a height of 10 cm. The radii of its top and bottom bases are 3 cm and 6 cm, respectively. Calculate the volume of the frustum. (Use π ≈ 3.14)
4. The lateral surface area of a frustum of a cone is given by the formula A = πl (r₁ + r₂), where l is the height, and r₁ and r₂ are the radii of the bases.
Match each description with its correct frustum formula.
5. Volume of a frustum of a cone
a. πl(r₁ + r₂)
6. Lateral surface area of a frustum of a cone
b. ⅓πh(r₁² + r₂² + r₁r₂)
7. A frustum of a square pyramid has a height of 8 inches. The top base has a side length of 4 inches, and the bottom base has a side length of 10 inches. Calculate the lateral surface area of the frustum.
8. A frustum can only be formed from a cone, not a pyramid.
True
False
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