Finding Volume of Pyramids

Front

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

Back

Volume = (1/3) × Base Area × Height

Front

What is the base area of a pyramid?

Back

The base area is the area of the shape that forms the base of the pyramid.

Front

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

Back

Base Area = side × side = 4 cm × 4 cm = 16 cm²

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 volume of a pyramid with a triangular base?

Back

Volume = (1/3) × Base Area × Height, where Base Area is calculated using the formula for the area of a triangle.

Front

What is the area of a triangle with a base of 6 cm and a height of 3 cm?

Back

Area = (1/2) × base × height = (1/2) × 6 cm × 3 cm = 9 cm²

Front

If a pyramid has a base area of 30 cm² and a height of 10 cm, what is its volume?

Back

Volume = (1/3) × 30 cm² × 10 cm = 100 cm³

Front

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

Back

The volume of the pyramid is one-third the volume of the prism.

Front

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

Back

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 5 cm and height 12 cm?

Back

Base Area = 5 cm × 5 cm = 25 cm²; Volume = (1/3) × 25 cm² × 12 cm = 100 cm³