# 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.

Q1:

Determine, to the nearest hundredth, the volume of the given pyramid. Q2:

Find the volume of the following regular pyramid rounded to the nearest hundredth. Q3:

Determine, to the nearest tenth, the volume of a square pyramid whose base length is 24 cm and slant height is 39 cm.

Q4:

Find the volume of a right square pyramid whose height is 45 cm and base side length is 25 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?

Q6:

Find the height of a regular pyramid whose volume is 196 cm3 and base area is 42 cm2.

Q7:

Given that a square pyramid has a volume of 372 cm3 and a height of 31 cm, determine the perimeter of its base.

• A24 cm
• B36 cm
• C124 cm
• D6 cm

Q8:

Determine, to the nearest tenth, the volume of the given solid. 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