A rectangular box has length 9 cm, width 5 cm, and volume 450 cm^3. What is the height?

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Multiple Choice

A rectangular box has length 9 cm, width 5 cm, and volume 450 cm^3. What is the height?

Explanation:
A rectangular box’s volume comes from multiplying its length, width, and height. To solve for height, use the base area first: length × width = 9 cm × 5 cm = 45 cm^2. The height must satisfy 45 cm^2 × height = 450 cm^3, so height = 450 / 45 = 10 cm. Checking quickly, a height of 9 cm would give 9 × 5 × 9 = 405 cm^3; 8 cm would give 360 cm^3; 11 cm would give 495 cm^3. Only 10 cm produces the given volume.

A rectangular box’s volume comes from multiplying its length, width, and height. To solve for height, use the base area first: length × width = 9 cm × 5 cm = 45 cm^2. The height must satisfy 45 cm^2 × height = 450 cm^3, so height = 450 / 45 = 10 cm. Checking quickly, a height of 9 cm would give 9 × 5 × 9 = 405 cm^3; 8 cm would give 360 cm^3; 11 cm would give 495 cm^3. Only 10 cm produces the given volume.

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