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yuradex [85]
3 years ago
8

Question 1: find the volume of a cube whose total surface area is 486cm^2

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0
<h3>The volume of cube is 729 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of cube is given as:</u></em>

Surface\ area = 6a^2

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9

<u><em>Find the volume of cube:</em></u>

volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729

Thus volume of cube is 729 cubic centimeter

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