3.2 Finding Volume Using Formulas

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What is volume?

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Volume is the amount of space an object occupies, measured in cubic units.

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What is the formula for finding the volume of a rectangular prism?

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Volume = length × width × height.

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If a box has a length of 5 inches, a width of 4 inches, and a height of 3 inches, what is its volume?

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Volume = 5 × 4 × 3 = 60 cubic inches.

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What is the formula for finding the volume of a cube?

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Volume = side × side × side (or side³).

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If one side of a cube is 4 inches, what is its volume?

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Volume = 4 × 4 × 4 = 64 cubic inches.

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What is the formula for finding the volume of a cylinder?

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Volume = π × radius² × height.

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If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

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Volume = π × 3² × 5 ≈ 141.37 cubic inches.

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What unit is used to measure volume?

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Volume is measured in cubic units, such as cubic inches (in³), cubic feet (ft³), or liters.

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How do you convert cubic inches to cubic feet?

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To convert cubic inches to cubic feet, divide the number of cubic inches by 1728 (since 1 ft³ = 1728 in³).

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CCSS.5.MD.C.5B

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What is the volume of a rectangular prism with a length of 10 inches, width of 2 inches, and height of 4 inches?

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Volume = 10 × 2 × 4 = 80 cubic inches.

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