The volume of the cube is 64 cm3. Find the area of the square ABCD – the edges of the cube.
June 11, 2021 | education
| In order to solve this problem, you need to perform several steps.
First, we find the edge of the cube, for this we recall the volume formula:
V = a ^ 3
The volume of the cube is known, so you can find its side
64 = a ^ 3
a = 3√64
a = 4 – side length of square ABCD;
Let’s recall the formula for the area of a square:
S = a ^ 2;
Since we know the side of the square, we find its area:
S = 4 ^ 2 = 16 is the area of the square ABCD.
Answer: 16
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