Volume of Rectangular Pyramids

Front

What is the formula for the volume of a rectangular pyramid?

Back

The volume (V) of a rectangular pyramid is given by the formula: V = (1/3) × base area × height.

Front

What is the base area of a rectangular pyramid?

Back

The base area of a rectangular pyramid is calculated by multiplying the length and width of the base: Base Area = length × width.

Front

If a rectangular pyramid has a base length of 4 m, a base width of 3 m, and a height of 6 m, what is its volume?

Back

Volume = (1/3) × (4 m × 3 m) × 6 m = 24 m³.

Front

What units are used to measure the volume of a pyramid?

Back

Volume is measured in cubic units, such as cubic meters (m³), cubic feet (ft³), or cubic centimeters (cm³).

Front

How does the height of a pyramid affect its volume?

Back

The height of a pyramid directly affects its volume; increasing the height increases the volume, while decreasing the height decreases the volume.

Front

What is the relationship between the volume of a rectangular pyramid and a rectangular prism with the same base and height?

Back

The volume of a rectangular pyramid is one-third the volume of a rectangular prism with the same base area and height.

Front

What is the volume of a rectangular pyramid with a base area of 20 ft² and a height of 5 ft?

Back

Volume = (1/3) × 20 ft² × 5 ft = 33.33 ft³.

Front

If the base of a rectangular pyramid is a square with a side length of 3 cm, what is the base area?

Back

Base Area = side length × side length = 3 cm × 3 cm = 9 cm².

Front

What is the volume of a rectangular pyramid with a base area of 12 in² and a height of 4 in?

Back

Volume = (1/3) × 12 in² × 4 in = 16 in³.

Front

What is the difference between a rectangular pyramid and a square pyramid?

Back

A rectangular pyramid has a rectangular base, while a square pyramid has a square base.