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erastovalidia [21]
3 years ago
15

Total surface area of a cube is 1014cm^2. It's volume will be :

Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer:

V=2197\ cm^3

Step-by-step explanation:

<u>Surface Area and Volume of a Cube</u>

Given a cube of side length a, the surface area is:

A = 6a^2

The volume is calculated as:

V=a^3

It's given the surface area of a cube:

A=1014\ cm^2

We can find the side length a by solving for a:

\displaystyle a=\sqrt{\frac{A}{6}}

\displaystyle a=\sqrt{\frac{1014}{6}}

\displaystyle a=\sqrt{169}

a = 13 cm

Now compute the volume:

V=13^3

\boxed{V=2197\ cm^3}

Answer: a) 2197 cm^3

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