NAME ______DATE______PERIOD ______
7th Grade PreAP- Course 2 Lesson 7.6/7.7
Volume of Prisms and Pyramids
- Determine the volume of each rectangular or triangular prism. Round to the nearest tenth if necessary.
- Determine the volume of each rectangular or triangular prism. Round to the nearest tenth if necessary.
3. The cargo-carryingpart of Billy’s truck is a rectangularprism. It has a length of 8.3 meters, awidth of 3 meters, and a height of 4.2meters. What is the maximumvolume of sand that Billy’s truck cancarry? / 4. Alexia’s bathroom has atub in the shape of a rectangularprism with a length of 1.5 meters, awidth of 0.5 meter, and a height of0.4 meter. How many cubic meters ofwater can it hold?
5. A triangular box of sticky notes is shown. Determine thevolume of the box. / 6. A pentagonal prism is aprism that has bases that arepentagons. Use V = Bh where B is the area of the
base, to determine thevolume of the pentagonal
prismbelow.
7. On a trip to Oregon,Sabrina bought a small stone in theshape of a square pyramid as asouvenir. Determine the volume of the stone.Round to the nearest tenth. / 8. An artist created a statue in theshape of a triangular pyramid. Thetriangular base has a height of 9 feet.Determine the volume of the statue. Round tothe nearest tenth.
9. The top of a gate post is inthe shape of a square pyramid. Theheight of the pyramid is 5 inches andeach side of the base is 7.4 inches. Determinethe volume of wood needed to make thetop of the gate post. Round to thenearest tenth. / 10. A glass stand to displaya doll is in the shape of a righttriangular pyramid as shown. Determine thevolume. Round to the nearest tenth.
11. A piece of coal is in the shape of asquare pyramid. Determine the volume.Round to the nearest tenth.
/ 12. An art class builds asquare pyramid with sides 12 feet wide.The pyramid is 17 feet high. Eachstudent in the school deposits a coloredcube with side length of
1 foot into thepyramid. To the nearest hundred, abouthow many students are in theschool?
Course 2 • Chapter 8 Develop Geometry with Algebra