A rectangular box has length 5 cm, width 4 cm, and volume 200 cm^3. What is its height?

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Multiple Choice

A rectangular box has length 5 cm, width 4 cm, and volume 200 cm^3. What is its height?

Explanation:
Volume of a rectangular box is found by multiplying its length, width, and height. Here the length is 5 cm and the width is 4 cm, so 5 × 4 = 20. To reach the given volume of 200 cm^3, the height must satisfy 20 × height = 200, so height = 200 ÷ 20 = 10 cm. If the height were 6 cm, the volume would be 5 × 4 × 6 = 120 cm^3; if it were 8 cm, the volume would be 160 cm^3; and if it were 12 cm, the volume would be 240 cm^3. Therefore, the height is 10 cm.

Volume of a rectangular box is found by multiplying its length, width, and height. Here the length is 5 cm and the width is 4 cm, so 5 × 4 = 20. To reach the given volume of 200 cm^3, the height must satisfy 20 × height = 200, so height = 200 ÷ 20 = 10 cm. If the height were 6 cm, the volume would be 5 × 4 × 6 = 120 cm^3; if it were 8 cm, the volume would be 160 cm^3; and if it were 12 cm, the volume would be 240 cm^3. Therefore, the height is 10 cm.

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