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20.03.2021 •
Mathematics
The surface area of one cube is twice the surface area of a second cube. What is the ratio of the lengths of their edges?
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Ответ:
8:1
Step-by-step explanation:
Volume of a cube = Length of edge³
So the equation for the small cube is,
V=L³
If the edge of the bigger cube is twice as long as the smaller cubes edge, then the equation for the bigger cube is:
V = (2L)³
= (2³)L³
= (8)L³
Combining these two in ratio form:
(8)L³ : (1)L³
You can remove the L³ from each side because they are equal
So the answer is 8:1
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