SOL 8.6a - Volume and Surface Area of Square-based Pyramids

Front

What is the formula for the volume of a square-based pyramid?

Back

V = (1/3) * B * h, where B is the area of the base and h is the height.

Front

How do you calculate the area of the base of a square-based pyramid?

Back

B = s^2, where s is the length of a side of the square base.

Front

What does the variable '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

What is the surface area formula for a square-based pyramid?

Back

SA = ½lp + B, where l is the slant height, p is the perimeter of the base, and B is the area of the base.

Front

What does 'lp' represent in the surface area formula?

Back

'lp' represents the lateral area of the pyramid, which is the area of the triangular faces.

Front

How do you find the slant height of a square-based pyramid?

Back

Use the Pythagorean theorem: l = √(h² + (s/2)²), where h is the height and s is the side length of the base.

Front

What is the perimeter of the base of a square-based pyramid?

Back

P = 4s, where s is the length of a side of the square base.

Front

If the side length of the base is 5 cm and the height is 12 cm, what is the volume of the pyramid?

Back

V = (1/3) * (5^2) * 12 = 100 cm³.

Front

If the slant height of a pyramid is 10 cm and the base side length is 6 cm, what is the surface area?

Back

SA = ½ * (4 * 6) * 10 + (6^2) = 120 cm².

Front

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

Back

Volume measures the space inside the pyramid, while surface area measures the total area of its outer surfaces.