Volume of Pyramids

Front

What is the formula for the volume of a pyramid?

Back

The volume of a pyramid is given by the formula V = (1/3) * B * h, where B is the area of the base and h is the height.

Front

What is the volume of a pyramid with a base area of 100 square units and a height of 9 units?

Back

The volume is V = (1/3) * 100 * 9 = 300 cubic units.

Front

If the base of a pyramid is a square with side length 4 units, what is the area of the base?

Back

The area of the base is B = side^2 = 4^2 = 16 square units.

Front

How does the volume of a pyramid compare to a prism with the same base area and height?

Back

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

Front

What is the volume of a pyramid with a triangular base that has an area of 12 square units and a height of 5 units?

Back

The volume is V = (1/3) * 12 * 5 = 20 cubic units.

Front

True or False: The volume of a pyramid can be found by multiplying the area of the base by the height and dividing by 3.

Back

True.

Front

What is the volume of a pyramid with a circular base of radius 3 units and height 4 units?

Back

The volume is V = (1/3) * π * r^2 * h = (1/3) * π * 3^2 * 4 = 12π cubic units.

Front

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

Back

The volume of a pyramid is directly proportional to its height; if the height increases, the volume increases.

Front

If a pyramid has a volume of 60 cubic units and a base area of 15 square units, what is its height?

Back

Using V = (1/3) * B * h, we find h = (3 * V) / B = (3 * 60) / 15 = 12 units.

Front

What is the volume of a pyramid with a rectangular base measuring 5 units by 10 units and a height of 6 units?

Back

The volume is V = (1/3) * (5 * 10) * 6 = 100 cubic units.