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15.04.2020 •
Mathematics
A cube-shaped box has a volume of 27 in.3 If the size of the box is increased, the volume, in cubic inches, of the box is modeled by the expression x + 27. If the volume is increased by 30 in.3, what is the maximum side length of the new box? Give your answer to the nearest hundredth of an inch.
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Ответ:
9514 1404 393
3.85 in
Step-by-step explanation:
If the volume is increased by x=30 in³, then the new volume is ...
x +27 = 30 +27 = 57 . . . . in³
This is the cube of the side length, so the new side length is ...
∛57 ≈ 3.85 . . . in
Ответ: