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In Mathematics / High School | 2014-05-27

How do you find the side length of a cube if the surface area of one face is 64 cm²?

Asked by laikker

Answer (2)

Fact #1: A cube has six faces.
Fact #2: Every one of them has the same area.
Fact #3: The surface area of each face is (the length of the cube's side)²
Now that I look at this one more carefully, the only thing you need to know to solve it is Fact #3. (But you can keep the others and save them for later.)
The surface area of each face is (the length of the cube's side)²
64 is the (length of the cube's side)²
Can you find a number that gives you 64 when you multiply it by itself ? That's the length of the cube's side.
Hint: If you don't get ' 8 ', work on it a little more.

Answered by AL2006 | 2024-06-10

The side length of a cube with a surface area of one face equal to 64 cm² is 8 cm. This is found using the formula for the area of a square: A = s 2 . By taking the square root of 64, we determine that s = 8 cm .
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Answered by AL2006 | 2024-11-04