The volume of the cube is 343 cm3, calculate the edge and surface area of the cube.
April 29, 2021 | education
| From the condition of the problem we know that the volume of the cube is V = 343 cm ^ 3
We know that the volume of a cube is calculated by the formula:
V = a ^ 3
Where a is the edge of the cube
So from this formula we can find the length of the edge. Let’s express it and get:
a = cubic √V = cube √343 = 7 centimeters.
Knowing the length of the edge of the cube, we can determine the surface area of a given figure. The surface area of a cube is calculated using the formula:
S = 6 * a ^ 2 = 6 * 7 ^ 2 = 6 * 49 = 294 square centimeters.
We get that the length of the edge of the cube is 7 centimeters, and its area is 294 square centimeters.
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