Lesson Worksheet: Volumes of Triangular and Quadrilateral Pyramids Mathematics • 8th Grade
In this worksheet, we will practice finding volumes of triangular or quadrilateral pyramids and solving problems including real-life situations.
Determine, to the nearest tenth, the volume of a square pyramid whose base length is 24 cm and slant height is 39 cm.
The triangle which forms the base of a triangular pyramid has a base of 9.5, and a height of 8. The height of the pyramid itself is 12.2. What is the volume of the pyramid to the nearest hundredth?
Find the volume of a pyramid that has a height of 9.1 yards and a square base of side 7.1 yards to the nearest hundredth.
Work out the volume of a square-based pyramid with a height of 4.5 inches and a base length of 2.3 inches. Give your solution as a fraction in its simplest form.
Determine, to the nearest tenth, the volume of a right square pyramid having a base area of 1,398 cm2 and a slant height of 66 cm.
Given that a square pyramid has a base area of 4 cm2, and the length of its lateral edge is 48 cm, determine its volume to the nearest hundredth.
A rectangular pyramid has a base 30 inches by 25 inches and a height of 43 inches. Which of the following is the closest to the volume of the pyramid?
- A112 ft3
- B7 ft3
- C18.7 ft3
- D75 ft3
- E6 ft3
A triangular pyramid has a right-triangle-shaped base with a leg of 3 centimeters, a hypotenuse of , and a volume of 132 cubic centimeters. Find its height.
A 24 cm high pyramid is on rhombus-shaped base with diagonals 15 cm and 11 cm. What is its volume?
El Castillo, the pyramid at Chichen Itza in Mexico, is 30 meters tall with a volume of about 30,580 cubic meters. Find the length of a side of the square base rounding the result to one decimal place.
is a triangular pyramid whose vertex is at a distance of 22 cm from its base . Given that the side lengths of its triangular base are 3 cm, 5 cm, and 4 cm , determine its volume.
- A44 cm3
- B132 cm3
- C66 cm3
- D88 cm3
A regular pyramid with a square base has a lateral edge length of 15. Find its volume to the nearest hundredth.
is a right pyramid whose base is a square of side length 6 cm, and . Find the pyramid’s volume rounded to the nearest hundredth.
Given that is a cube of edge length 8 cm, determine, in cubic centimeters, the volume of the pyramid to the nearest hundredth.
A square pyramid has base with diagonal cm. If its slant height is 17 cm, what is its volume? Give your answer to the nearest hundredth.
Work out the volume of a square-based pyramid with a base length of 3 feet and a perpendicular height of 86 inches. Give your answer in cubic feet.
The Louvre Pyramid in Paris has a square base whose sides are 112 feet long. Given that its volume is 296,875 cubic feet, find the height of the pyramid to the nearest foot.
Find the volume of the following regular pyramid approximating the result to the nearest hundredth.