Volume and Surface Area of Pyramids, Cones, and Spheres

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• ​2 parallel and congruent bases

• surrounding faces are rectangles

​​Prisms:

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• 1 base

• surrounding faces are triangles​

​​Pyramids:

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Multiple Choice

What is the volume of this prism?

• 168 m³

• 280 m³

• 224 m³

• 112 m³

Solution

Multiple Choice

What is the volume of this prism?

• 240 cm³

• 480 cm³

• 288 cm³

• 576 cm³

Solution

Multiple Choice

What is the volume of this cylinder?

• 42π in³

• 21π in³

• 63π in³

• 84π in³

Solution

Multiple Choice

What is the approximate volume of the right triangular pyramid?

• 952 units cubed

• 317 units cubed

• 635 units cubed

• 1904 units cubed

Multiple Choice

What is the volume of the pyramid?

• 168m³

• 84m³

• 56m³

• 174m³

Multiple Choice

Which equation represents the volume of the cone shown in cubic centimeters?

• $$V\ =\ 80\ \times150\ \times\pi$$

• $$V\ =\frac{1}{3}\times\pi\times80^2\times150$$

• $$V\ =\frac{1}{2}\times\pi\times80^2\times170$$

• $$V\ =\ 80\ \times150\ \times170\times\pi$$

Multiple Choice

What is the volume of the cone to the nearest tenth (use the $$\pi$$ button)?

• 29.3 $$m^3$$

• 88 $$m^3$$

• 14.7 $$m^3$$

• 44 $$m^3$$

4 circles of area

Multiple Choice

Find the surface area of the following sphere. Round to the nearest whole number.

• 314.16 in²

• 166.67 in²

• 314 in²

• 521.24 in²

Multiple Choice

Find the surface area of a sphere with a radius of 6

• $$12\pi$$

• $$24\pi$$

• $$36\pi$$

• $$144\pi$$

Multiple Choice

Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for π.

• 345.32 in³

• 25.17 in³

• 33.49 in³

• 50.22 in³

Multiple Choice

The diameter of a basketball is 9.55 inches. What's the volume?

• 456 in³

• 3648 in³

• 1216 in³

• 286.5 in³

Multiple Choice

Find the volume of the sphere.

• $$\frac{2048\pi}{3}$$

• $$\frac{64\pi}{3}$$

• $$\frac{256\pi}{3}$$

• $$\frac{1024\pi}{3}$$