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.