Volume of 3D Shapes Review

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the radius of a cone if you know the diameter?

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a rectangular prism?

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

If a cylinder has a diameter of 10 inches, what is its radius?

Back

Radius = 10 inches / 2 = 5 inches.

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CCSS.7.G.B.4

Front

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

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cm³.

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

Front

How do you convert cubic inches to cubic feet?

Back

Divide the number of cubic inches by 1728 (since 1 ft³ = 12 in × 12 in × 12 in = 1728 in³).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3 cm)²(5 cm) = 45π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is 1/3 the volume of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3