In this worksheet, we will practice finding the volumes of pyramids with triangular, quadrilateral, or pentagonal bases.
Find the volume of the following regular pyramid rounded to the nearest hundredth.
Determine, to the nearest tenth, the volume of a square pyramid whose base length is 24 cm and slant height is 39 cm.
A square pyramid whose base’s side length is 14 cm has a total surface area of 784 cm2. Find its volume to the nearest hundredth.
A triangular pyramid has a triangle with base 9.5 and height 8. If the height of the pyramid is 12.2, what is its volume, to the nearest hundredth?
Given that a square pyramid has a volume of 372 cm3 and a height of 31 cm, determine the perimeter of its base.
- A 36 cm
- B 6 cm
- C 124 cm
- D 24 cm
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?
- A 75 ft3
- B 7 ft3
- C 112 ft3
- D 6 ft3
- E 18.7 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?
A shape is made up of two pyramids, each with a perpendicular height of 19 inches. They are connected by their bases which are both 10-by-10-inch squares. Work out the volume of the shape, giving your answer to two decimal places.
El Castillo, the pyramid at Chichen Itza in Mexico, is 30 metres tall with a volume of about cubic metres. Find the length of a side of the square base rounding the result to one decimal place.
A square pyramid has a volume of 4,536 cubic inches. What is the volume of this pyramid in cubic feet?
Work out the volume of a square-based pyramid with a height of 12 inches and a base length of 5 inches.
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.
- A 66 cm3
- B 88 cm3
- C 132 cm3
- D 44 cm3
A square pyramid has a base diagonal cm and lateral surface area 720 cm2. What is its volume?
A regular pyramid with a square base has a lateral edge length of 15. Find its volume to the nearest hundredth.