Volume of Prisms, Pyramids, Cones and Cylinders

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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

Fill in the Blanks

What is the volume of the square pyramid in cubic centimeters? (Only type numerical answer.)

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.

• $$\frac{2048\pi}{3}$$

• $$\frac{64\pi}{3}$$

• $$\frac{256\pi}{3}$$

• $$\frac{1024\pi}{3}$$