Surface Area of Prisms and Pyramids

Front

What is a prism?

Back

A prism is a 3D shape with two parallel, congruent bases connected by rectangular faces.

Front

What is a pyramid?

Back

A pyramid is a 3D shape with a polygonal base and triangular faces that meet at a single point called the apex.

Front

How do you calculate the surface area of a prism?

Back

Surface area of a prism = 2 * Area of the base + Perimeter of the base * Height.

Front

How do you calculate the surface area of a pyramid?

Back

Surface area of a pyramid = Area of the base + 1/2 * Perimeter of the base * Slant height.

Front

What is the base of a triangular prism?

Back

The base of a triangular prism is a triangle.

Front

What is the base of a square pyramid?

Back

The base of a square pyramid is a square.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If a triangular pyramid has a base of 7 ft and a height of 6 ft, what is the area of one triangular face?

Back

Area = 1/2 * 7 ft * 6 ft = 21 ft².

Front

What is the total surface area of a triangular pyramid with a base area of 21 ft² and 3 triangular faces each with an area of 21 ft²?

Back

Total Surface Area = Base Area + 3 * Area of one triangular face = 21 ft² + 63 ft² = 84 ft².

Front

What is the surface area of a rectangular prism with dimensions 10 cm, 5 cm, and 2 cm?

Back

Surface Area = 2*(10*5 + 10*2 + 5*2) = 2*(50 + 20 + 10) = 2*80 = 160 cm².