7th Grade Math

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Volume

PART A BCD EF

Multi-Part

Lesson 1

Addresses

GLE 0706.1.3, GLE 0706.1.8.

Volume of Pyramids and Cones

MOVIE THEATERS A movie

4in. 4 in.

theater offers two different

containers of popcorn: a

square prism and a square

pyramid. They are both

4 inches tall and have a

base area of 16 square inches.

In the following Activity, you will compare their volumes.

Draw each net onto card stock. Cut out each and tape

together. The prism and pyramid will be open. The

pyramid is composed of four congruent isosceles triangles

with bases of 4 inches and heights of 4^

_^1

2 inches.

4 in.

(^412) in.
Fill the pyramid with rice.
Pour the rice from the
pyramid into the prism
and repeat until the
prism is full. Slide a ruler
across the top to level
the amount.
the Results

1. Compare the bases of the prism and pyramid.


2. Compare the heights of the prism and pyramid.


3. How many pyramids of rice did it take to fill the prism?

theate

Main Idea

Justify formulas for the

volume of pyramids

and cones.

Lesson 1D Volume 569

4 in.

4 in.

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