Geometry 8.2C: Volumes of Pyramids and Cones

8.2C:
Volumes of Pyramids and Cones

Multiple Choice

What is the figure shown to the left?

• Circular Pyramid

• Circular Prism

• Cone

• Cylinder

Multiple Choice

What is the volume of the cylinder shown?

Use the pi button on your calculator!

• 344.12 m^3

• 387.81 m^3

• 351.86 m^3

• 494.93 m^3

Multiple Choice

What is the shape of the base?

• Triangle

• Rectangle

• Parallelogram

• Square

Multiple Choice

What is the area of the base?

• 24 $$yd^2$$

• 48 $$yd^2$$

• 21 $$yd^2$$

• $$42\ yd^2$$

Multiple Choice

What is the volume of the prism shown?

• 223

• 175

• 196

• 168

Multiple Choice

What is the correct label for the volume of the figure shown?

• yards

• square yards

• cubic yards

In this picture, we are seeing the base of a pyramid and a prism.

Notice that both bases appear to be squares.

The bases seem to be congruent: same shape, same size.

Volumes of Pyramids

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Notice now that the pyramid and prism not only have the same base (squares that are the same size)...
But the prism and the pyramid have the same height!

Prism vs. Pyramid

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​So here's the question...

How many pyramids will it take to "fill up" the prism?

Open Ended

How many pyramids (with same base and same height) will it take to fill up the prism?

Math Response

So... now that you've watched the video... how many pyramids did it take to fill up the prism?

Type answer here

Correct Answer: 3

Deg^°

Rad

Finding Volumes of Pyramids/Cones

Cones

Pyramids

Volumes of Pyramids and Cones

Multiple Choice

What is the shape of the base of the pyramid?

• Triangle

• Parallelogram

• Rectangle

• Square

Multiple Choice

What area formula do we use to find the area of the base?

• $$\pi\ r^2$$

• $$bh$$

• $$\frac{1}{2}bh$$

• $$\frac{1}{2}h\left(b_1+b_2\right)$$

Math Response

What is the area of the base?

Type answer here

Correct Answer: 24

Deg^°

Rad

Multiple Choice

What is the volume of the pyramid?

• $$76\ km^3$$

• $$115\ km^3$$

• $$264\ km^3$$

• $$88\ km^3$$

Multiple Choice

What is the volume of the pyramid shown?

• $$120.81\ yd^3$$

• $$490\ yd^3$$

• $$96.11\ yd^3$$

• $$163.33\ yd^3$$

Multiple Choice

What is the volume of the cone?

• $$765.5\pi\ km^3$$

• $$902.32\pi\ km^3$$

• $$666.67\pi\ km^3$$

• $$343.64\pi\ km^3$$

Math Response

Find the volume of the pyramid.

Do not worry about adding a label.

Type answer here

Correct Answer: 135

Deg^°

Rad

Math Response

Find the volume of the cone.

Use the pi button on your calculator.

Round your answer to the nearest whole number.

Do not worry about adding the label.

Type answer here

Correct Answer: 452

Deg^°

Rad

You are now ready for today's worksheet!
You may work alone, with a partner of your choice or in a team of 3.