In this worksheet, we will practice finding the volumes of pyramids with triangular, quadrilateral, or pentagonal bases.
Q3:
Find the volume of the following regular pyramid rounded to the nearest hundredth.
Q5:
Determine, to the nearest tenth, the volume of a square pyramid whose base length is 24 cm and slant height is 39 cm.
Q6:
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.
Q8:
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?
Q10:
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
Q12:
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.
Q13:
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
Q14:
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.
Q15:
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.
Q16:
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
Q17:
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.
Q18:
A 24 cm high pyramid is on rhombus-shaped base with diagonals 15 cm and 11 cm. What is its volume?
Q19:
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.
Q20:
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.
Q21:
A square pyramid has a volume of 4,536 cubic inches. What is the volume of this pyramid in cubic feet?
Q22:
Work out the volume of a square-based pyramid with a height of 12 inches and a base length of 5 inches.
Q23:
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
Q24:
A square pyramid has a base diagonal cm and lateral surface area 720 cm2. What is its volume?
Q25:
A regular pyramid with a square base has a lateral edge length of 15. Find its volume to the nearest hundredth.