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09-12-2016
Mathematics

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If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.

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HomertheGenius HomertheGenius

09-12-2016

Area of the box:
A = 2 a² + 4 a h = 600 cm²
h = a ( the box is a cube )
A = 6 a² = 600 cm²
a² = 100
a = 10 cm
V = a³ = 10³ = 1000 cm³

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