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.
Q3:
Determine, to the nearest tenth, the volume of a square pyramid whose base length is 24 cm and slant height is 39 cm.
Q5:
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?
Q9:
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.
Q10:
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.
- A
- B
- C
- D
- E
Q11:
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.
Q12:
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.
Q13:
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
Q14:
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.
Q15:
A 24 cm high pyramid is on rhombus-shaped base with diagonals 15 cm and 11 cm. What is its volume?
Q16:
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.
Q18:
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
Q19:
A regular pyramid with a square base has a lateral edge length of 15. Find its volume to the nearest hundredth.
Q20:
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.
Q21:
Given that is a cube of edge length 8 cm, determine, in cubic centimeters, the volume of the pyramid to the nearest hundredth.
Q22:
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.
Q23:
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.
Q24:
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.
Q25:
Find the volume of the following regular pyramid approximating the result to the nearest hundredth.
