surface area of pyramids and prisms

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

What is the formula for the surface area of a pyramid with a square base?

Back

Surface Area = Base Area + 1/2 * Perimeter * Slant Height.

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the surface area of a cube with side length 5 cm?

Back

Surface Area = 6 * (5 cm)^2 = 150 cm².

Front

If a triangular prism has a base area of 10 m² and a height of 5 m, what is its surface area?

Back

Surface Area = 2 * Base Area + Perimeter of Base * Height = 2 * 10 m² + (Perimeter of Base * 5 m).

Front

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

Back

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

Front

How many triangular faces does a pyramid with a square base have?

Back

A pyramid with a square base has 4 triangular faces.

Front

What is the surface area of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Surface Area = 2πr(h + r) = 2π(3)(7 + 3) = 60π cm².

Front

What is the surface area of a cone with a radius of 4 cm and a height of 9 cm?

Back

Surface Area = πr(r + l), where l = slant height. First, find l using Pythagorean theorem.

Front

What is the formula for the surface area of a triangular prism?

Back

Surface Area = 2 * Base Area + Perimeter of Base * Height.