Volume and Surface Area Review

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with dimensions 10 ft × 8 ft × 14 ft?

Back

Volume = 10 ft × 8 ft × 14 ft = 1120 ft³

Tags

CCSS.7.G.B.6

Front

How do you calculate the volume of a cereal box with a base area of 7 cm² and a height of 12 cm?

Back

Volume = Base Area × Height = 7 cm² × 12 cm = 84 cm³

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Find the volume of a cone with a radius of 3 cm and a height of 5 cm. Round to the nearest hundredth.

Back

Volume = (1/3) × π × (3 cm)² × (5 cm) ≈ 47.12 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm. Round to the nearest hundredth.

Back

Volume = π × (4 cm)² × (10 cm) ≈ 502.65 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.7.G.B.6

Front

Find the surface area of a rectangular prism with dimensions 5 cm × 3 cm × 2 cm.

Back

Surface Area = 2(5 cm × 3 cm + 5 cm × 2 cm + 3 cm × 2 cm) = 62 cm²

Tags

CCSS.7.G.B.6

Front

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

Back

Surface Area = 4πr²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3