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20.09.2020 •
Mathematics
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
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Ответ:
Step-by-step explanation:
The volume of a cube can be found using the following formula:
where
is the side length, or edge.
We know the volume is 216 cubic inches. We can substitute 216 cm³ in for
, the volume.
We want to find the side length. Therefore, we must isolate the variable,
.
s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.
The length of each edge of the cube is 6 centimeters.
Ответ:
Volume of a cube = (edge)^3
In this problem,
Volume = 216in^2
Edge = ?
Let's plug our values into the formula above.
216in^3 = (edge)^3
Take the cbrt of both sides.
6in = edge
The length of each edge = 6in
Ответ: