Volume of Pyramids

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 base area of a square pyramid with side length 's'?

Back

The base area of a square pyramid is calculated as: base area = s².

Front

How do you calculate the height of a pyramid if you know the volume and base area?

Back

You can rearrange the volume formula: height = (3 * volume) / base area.

Front

What is the volume of a pyramid with a base area of 12 cm² and a height of 5 cm?

Back

Volume = (1/3) * 12 cm² * 5 cm = 20 cm³.

Front

If a pyramid has a base area of 20 m² and a height of 3 m, what is its volume?

Back

Volume = (1/3) * 20 m² * 3 m = 20 m³.

Front

What is the volume of a triangular pyramid with a base area of 10 cm² and a height of 4 cm?

Back

Volume = (1/3) * 10 cm² * 4 cm = 13.33 cm³.

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 constant.

Front

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

Back

The volume of a pyramid is directly proportional to its base area; increasing the base area increases the volume.

Front

What is the volume of a square pyramid with a side length of 3 cm and a height of 5 cm?

Back

Volume = (1/3) * (3 cm)² * 5 cm = 15 cm³.

Front

If a pyramid has a volume of 30 m³ and a base area of 10 m², what is its height?

Back

Height = (3 * volume) / base area = (3 * 30 m³) / 10 m² = 9 m.