12.5 Volume of Pyramids and Cones

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 formula for the volume of a cone?

Back

The volume of a cone is given by the formula V = (1/3) * π * r² * h, where r is the radius of the base and h is the height.

Front

How do you find the area of a triangular base?

Back

The area of a triangle is calculated using the formula A = (1/2) * base * height.

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 the height of a cone is doubled, how does that affect its volume?

Back

If the height of a cone is doubled, the volume also doubles, since volume is directly proportional to height.

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic inches (in³), cubic centimeters (cm³), or liters.

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 digit in the tenths place: if it's 5 or greater, round up; if it's less than 5, round down.

Front

What is the volume of a cone with a radius of 3 inches and a height of 4 inches?

Back

V = (1/3) * π * (3)² * (4) = 12π ≈ 37.7 in³.

Front

What is the volume of a pyramid with a square base of side 4 cm and a height of 9 cm?

Back

V = (1/3) * (4 * 4) * 9 = 48 cm³.

Front

How does the volume of a cone compare to a cylinder with the same base and height?

Back

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