Find the volume of a cube if its surface area is 25 cm3.
| July 13, 2021 | education
A cube has six faces, so its surface area is found using the following formula:
S = 6a², where a is the edge of the cube.
It follows from this formula that the edge of the cube is
a = √S / 6.
Find the edge of the cube from the problem:
a = √25 / 6 = 5 / √6 cm.
The volume of the cube is found by the formula
V = a³.
Let’s find its value:
V = (5 / √6) ³ = 125 / 6√6 ≈ 8.51 cm³.
Answer: the volume of a cube is approximately 8.51 cm³.
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