Volume of Rectangular Pyramids

Front

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

Back

Volume = (1/3) * B * h, where B is the area of the base and h is the height.

Front

What does the 'B' in the volume formula represent?

Back

B stands for the area of the base of the pyramid.

Front

If the base of a rectangular pyramid is 10 m by 5 m and the height is 6 m, what is the volume?

Back

Volume = (1/3) * (10 m * 5 m) * 6 m = 100 m³.

Front

What is the height of a pyramid?

Back

The height is the perpendicular distance from the base to the apex (top point) of the pyramid.

Front

How do you calculate the area of a rectangle?

Back

Area = length * width.

Front

What is the volume of a rectangular pyramid with a base area of 20 in² and a height of 9 in?

Back

Volume = (1/3) * 20 in² * 9 in = 60 in³.

Front

What units are used to measure volume?

Back

Common units include cubic meters (m³), cubic centimeters (cm³), and cubic inches (in³).

Front

If a rectangular pyramid has a volume of 240 ft³ and a base area of 40 ft², what is the height?

Back

Height = (3 * Volume) / B = (3 * 240 ft³) / 40 ft² = 18 ft.

Front

What is the relationship between the volume of a pyramid and its base area and height?

Back

The volume of a pyramid is directly proportional to its base area and height.

Front

What is the volume of a rectangular pyramid with a base of 4 ft by 3 ft and a height of 5 ft?

Back

Volume = (1/3) * (4 ft * 3 ft) * 5 ft = 20 ft³.