### 5-5: TEKS Practice

• 1. Find the volume of the square pyramid. • 2. An artist makes paperweights in the shape of square pyramids. The paperweights are filled with yellow sand. How much sand does the artist need to fill this paperweight? • 3. Find the volume of the regular triangular pyramid. Do not round until the final answer. Then round to the nearest tenth as needed. • 4. Find the volume of the regular triangular pyramid. Round to the nearest cubic centimeter as needed. • 5. A craftsperson uses the volume of a gem to set the price. One gem is shaped like a regular triangular pyramid. Find the volume of the gem. Do not round until the final answer. Then round to the nearest tenth as needed. • 6. Writing A square-based pyramid and a square-based rectangular prism have the same base edge b and the same height h. • a. How does the volume of the prism compare to the volume of the pyramid?

• A. The volume of the prism is 4 times the volume of the pyramid.

• B. The volume of the prism is 2 times the volume of the pyramid.

• C. The volumes cannot be compared without the actual given measurements.

• D. The volume of the prism is 3 times the volume of the pyramid.

• b. Describe a situation that could use this fact.

• 7. Estimation Estimate the volume of the regular triangular pyramid. Round each dimension to the nearest whole number. Multiply the rounded dimensions. Then, divide by 6. End ofPage 199