Volume of Pyramids

Front

What is the formula to find the volume of a pyramid?

Back

Volume = (Base Area × Height) / 3

Front

What do you need to calculate first when finding the volume of a triangular pyramid?

Back

You need to find the area of the triangular base.

Front

What is the last step in calculating the volume of a pyramid?

Back

Divide by 3.

Front

If the base area of a pyramid is 54 square units and the height is 12 units, what is the volume?

Back

Volume = (54 × 12) / 3 = 216 cubic units.

Front

What is the volume of a pyramid with a base area of 30 square units and a height of 9 units?

Back

Volume = (30 × 9) / 3 = 90 cubic units.

Front

True or False: The volume of a pyramid is always less than the volume of a prism with the same base area and height.

Back

True.

Front

What is the volume of a pyramid with a base area of 40 square units and a height of 15 units?

Back

Volume = (40 × 15) / 3 = 200 cubic units.

Front

If a pyramid has a volume of 72 cubic units and a base area of 24 square units, what is its height?

Back

Height = (Volume × 3) / Base Area = (72 × 3) / 24 = 9 units.

Front

What is the relationship between the volume of a pyramid and the volume of a cylinder with the same base area and height?

Back

The volume of the pyramid is one-third of the volume of the cylinder.

Front

What is the base area of a pyramid if its volume is 60 cubic units and its height is 5 units?

Back

Base Area = (Volume × 3) / Height = (60 × 3) / 5 = 36 square units.