A box has length 6 cm, width 7 cm, and volume 378 cm^3. What is the height of the box?

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Multiple Choice

A box has length 6 cm, width 7 cm, and volume 378 cm^3. What is the height of the box?

Explanation:
The key idea is that the volume of a rectangular box equals length times width times height. To find height, divide the volume by the product of length and width. Here, length is 6 cm and width is 7 cm, so 6 × 7 = 42. With a volume of 378 cm³, the height is 378 ÷ 42 = 9 cm. Checking: 6 × 7 × 9 = 378, which matches the given volume. Therefore the height is 9 cm.

The key idea is that the volume of a rectangular box equals length times width times height. To find height, divide the volume by the product of length and width. Here, length is 6 cm and width is 7 cm, so 6 × 7 = 42. With a volume of 378 cm³, the height is 378 ÷ 42 = 9 cm. Checking: 6 × 7 × 9 = 378, which matches the given volume. Therefore the height is 9 cm.

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