Volume of Pyramids

Front

What is the formula for the VOLUME of a PYRAMID?

Back

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

Front

What does 'B' represent in the volume formula of a pyramid?

Back

'B' represents the area of the base of the pyramid.

Front

What does 'h' represent in the volume formula of a pyramid?

Back

'h' represents the height of the pyramid, measured from the base to the apex.

Front

How do you calculate the area of a rectangular base?

Back

To calculate the area of a rectangular base, use the formula A = length × width.

Front

How do you calculate the area of a triangular base?

Back

To calculate the area of a triangular base, use the formula A = (1/2) × base × height.

Front

What is the volume of a pyramid with a base area of 20 cm² and a height of 9 cm?

Back

The volume is V = (1/3) × 20 cm² × 9 cm = 60 cm³.

Front

If a pyramid has a volume of 48 m³ and a base area of 12 m², what is its height?

Back

Using V = (1/3)Bh, we can rearrange to find h: h = (3V)/B = (3 × 48 m³) / 12 m² = 12 m.

Front

What is the volume of a pyramid with a square base of side 4 m and a height of 3 m?

Back

First, calculate the base area: B = 4 m × 4 m = 16 m². Then, V = (1/3) × 16 m² × 3 m = 16 m³.

Front

What is the volume of a pyramid with a circular base of radius 3 m and height 5 m?

Back

First, calculate the base area: B = πr² = π(3 m)² = 9π m². Then, V = (1/3) × 9π m² × 5 m = 15π m³ (approximately 47.12 m³).

Front

How does the volume of a pyramid change if the height is doubled?

Back

If the height is doubled, the volume also doubles, assuming the base area remains the same.