If height is doubled in the 8 by 4 by 2 rectangular box with volume 64 cubic inches, what is the new volume?

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Multiple Choice

If height is doubled in the 8 by 4 by 2 rectangular box with volume 64 cubic inches, what is the new volume?

Explanation:
Doubling one dimension of a rectangular box scales its volume by the same factor because volume is the product of its length, width, and height. The box is 8 by 4 by 2, so the original volume is 8 × 4 × 2 = 64 cubic inches. If the height is doubled, it becomes 4, and the new volume is 8 × 4 × 4 = 128 cubic inches. Since you’ve only increased the height, the volume doubles from 64 to 128. The other numbers would occur if the height stayed the same (64), were quadrupled (256), or were halved (32).

Doubling one dimension of a rectangular box scales its volume by the same factor because volume is the product of its length, width, and height. The box is 8 by 4 by 2, so the original volume is 8 × 4 × 2 = 64 cubic inches. If the height is doubled, it becomes 4, and the new volume is 8 × 4 × 4 = 128 cubic inches. Since you’ve only increased the height, the volume doubles from 64 to 128. The other numbers would occur if the height stayed the same (64), were quadrupled (256), or were halved (32).

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