Formulas

S = 2πrh + 2πr²

A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5 cm and the height is 2 cm. Use 3.14 for π.

Total surface area of a triangular prism (S = Ph + 2B)

Alice wants to cover the entire triangular prism in wrapping paper. What is the surface area?

The height of a triangular prism

Always between the two bases

B

Area of the base

A = ½bh

Area of the base of a triangular prism

V = ¹/₃Bh

Braum's purchased new cones for their shops with a radius of 2.5 inches and a height of 8 inches. How much ice cream can each cone hold?

S = 2πrh

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label?

Total surface area of a rectangular prism (S = Ph + 2B)

Chloe wants to wrap a present in a box for Sarah. The top and bottom of the box is 8 in. by 3 in., the sides are both 3 in. by 2 in. and the front and back are 8 in. by 2 in. How much wrapping paper will Chloe need to wrap the present?

V = ⁴/₃πr³

How much air can an ornament shaped like a basketball hold if the diameter is 8 inches?

V = Bh

John has a cylindrical fish tank with a radius of 4 feet and a height of 3 feet. How much water will he need to fill up the fish tank?

a² + b² = c²

Lena's guest house is 15 m long and 12 m wide. How long is the diagonal of the house?

P

Perimeter of the base

Lateral surface area of a rectangular prism (S = Ph)

Tara made a rectangular fence around her rose garden so it would not get hurt by her dog. She put a fence around the rose garden that was 4 ft long, 2 ft wide, and 3 ft high. How much material did she use to make her fence?

h

height of the figure

r

radius