Volume of Pyramids and Cones

Front

What is the formula for the volume of a pyramid?

Back

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

Front

What is the formula for the volume of a cone?

Back

The volume (V) of a cone is given by the formula: V = (1/3) * π * radius² * height.

Front

How do you find the base area of a rectangular pyramid?

Back

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

Front

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

Back

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

Front

If a pyramid has a height of 9 m and a base area of 24 m², what is its volume?

Back

V = (1/3) * 24 m² * 9 m = 72 m³.

Front

What is the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

V = (1/3) * π * (3 cm)² * (5 cm) ≈ 47.12 cm³.

Front

What is the difference between a pyramid and a cone?

Back

A pyramid has a polygonal base and triangular faces that meet at a point, while a cone has a circular base and a single vertex.

Front

What units are used to measure volume?

Back

Common units for measuring volume include cubic meters (m³), cubic centimeters (cm³), and liters (L).

Front

How do you round a volume to the nearest whole number?

Back

To round a volume to the nearest whole number, look at the first decimal place: if it's 5 or more, round up; if it's less than 5, round down.

Front

What is the volume of a pyramid with a square base of side 4 m and a height of 6 m?

Back

Base Area = 4 m * 4 m = 16 m²; V = (1/3) * 16 m² * 6 m = 32 m³.