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

Front

What does B represent in surface area formulas for pyramids?

Back

B represents the base area.

Front

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

Back

Volume = (1/3) * Base Area * Height.

Front

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

Back

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

Front

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

Back

Area = side length × side length.

Front

What is the relationship between the height and slant height of a pyramid?

Back

The slant height is the hypotenuse of the right triangle formed by the height and half the base length.

Front

If the base of a square pyramid has a side length of 8 ft, what is the area of the base?

Back

Area = 8 ft × 8 ft = 64 ft².

Front

What is the volume of a square pyramid with a base area of 64 ft² and a height of 9 ft?

Back

Volume = (1/3) * 64 ft² * 9 ft = 192 ft³.

Front

How do you find the surface area of a square pyramid with a base side of 6 ft and a slant height of 5 ft?

Back

SA = ½ * (4 * 6 ft) * 5 ft + (6 ft)² = 60 ft².

Front

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

Back

Perimeter = 4 * side length = 4 * 5 cm = 20 cm.

Front

If a square pyramid has a base area of 100 cm² and a height of 12 cm, what is its volume?

Back

Volume = (1/3) * 100 cm² * 12 cm = 400 cm³.