Surface Area of Prisms and Pyramids

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 triangular prism?

Back

Surface Area = bh + l1h + l2h + l3h, where b = base, h = height of the triangle, l1, l2, l3 = lengths of the triangular sides.

Front

What is the formula for the surface area of a pyramid?

Back

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

Front

What is the difference between a prism and a pyramid?

Back

A prism has two parallel bases and rectangular sides, while a pyramid has one base and triangular sides that meet at a point.

Front

How do you find the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r = radius and h = height.

Front

What is the surface area of a cube with a side length of 4 cm?

Back

Surface Area = 6s² = 6(4)² = 96 cm².

Front

If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 2 cm, what is its surface area?

Back

Surface Area = 2(5*3 + 5*2 + 3*2) = 2(15 + 10 + 6) = 2(31) = 62 cm².

Front

What is the surface area of a square pyramid with a base side of 6 m and a slant height of 5 m?

Back

Surface Area = 6² + (1/2 * 4 * 5) = 36 + 10 = 46 m².

Front

What is the surface area of a triangular prism with a base area of 10 m² and a height of 4 m?

Back

Surface Area = 10 + (Perimeter of Base * Height). If base perimeter is 12 m, Surface Area = 10 + (12 * 4) = 58 m².

Front

What is the surface area of a rectangular prism with dimensions 10 in, 5 in, and 3 in?

Back

Surface Area = 2(10*5 + 10*3 + 5*3) = 2(50 + 30 + 15) = 2(95) = 190 in².