Volume and Surface Area of Pyramids

Front

What is the formula for the VOLUME of a PYRAMID?

Back

The formula for the volume of a pyramid is \( \frac{1}{3}Bh \), where B is the area of the base and h is the height.

Front

How do you find the volume of a pyramid with a square base?

Back

To find the volume, use the formula \( V = \frac{1}{3}Bh \). Calculate the area of the base (B) and multiply by the height (h), then divide by 3.

Front

What is the surface area of a pyramid?

Back

The surface area of a pyramid is the sum of the area of the base and the area of the triangular faces.

Front

How do you calculate the surface area of a square pyramid?

Back

Surface area = Base area + Lateral area. For a square pyramid, Base area = side² and Lateral area = \( \frac{1}{2} \times perimeter \times slant height \).

Front

What is the volume of a pyramid with a base area of 50 cm² and a height of 12 cm?

Back

Volume = \( \frac{1}{3} \times 50 \times 12 = 200 \) cm³.

Front

If a pyramid has a base length of 6 cm and a height of 9 cm, what is its volume?

Back

Volume = \( \frac{1}{3} \times (6 \times 6) \times 9 = 108 \) cm³.

Front

What is the slant height of a pyramid?

Back

The slant height is the distance from the top vertex of the pyramid to the midpoint of a side of the base.

Front

How do you find the lateral surface area of a pyramid?

Back

Lateral surface area = \( \frac{1}{2} \times perimeter \times slant height \).

Front

What is the perimeter of the base of a square pyramid with a side length of 5 cm?

Back

Perimeter = 4 \times side length = 4 \times 5 = 20 cm.

Front

If a pyramid has a square base with a side length of 10 cm and a height of 15 cm, what is its volume?

Back

Volume = \( \frac{1}{3} \times (10 \times 10) \times 15 = 500 \) cm³.