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pychu [463]
3 years ago
6

Find the side length of a cube with a volume of 69cm^3. If necessary, round your answer to the nearest tenth

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0

Answer:

4.1 centimeters

Step-by-step explanation:

The volume of a cube can be found using the following formula.

V=s^3

We know that the volume of the cube is 69 cm^3, therefore we can substitute 69 cm^3 in for V (volume).

69 cm^3=s^3

We want to find out what<em> s</em> (side length) is. Therefore, we must get<em> s </em>by itself.

s is being cubed. The inverse of a cube is the cube root. Take the cubed root of both sides.

\sqrt[3]{69 cm^3} =\sqrt[3]{s^3}

\sqrt[3]{69 cm^3}=s

4.10156593 cm=s

The question tell us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 1 in the tenth place.

4.1 cm=s

The side length of the cube is 4.1 centimeters.

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