Question

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

a) 2197 cm^3
b) 2297 cm^3
c) 2179 cm^3
d) 2117 cm^3

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Answer 1

Option A (2197 cm³)

Explanation:

For a cube with length of each side "a" , it's

• Total Surface Area = 6a²
• Volume = a³

_____________________________________________

According to the question ,

Total Surface Area = 1014 cm²

Let the length of each side of cube be 'a'.

Using the formula ,

`6a^(2) =1014`

`=> a^(2) =(1014)/(6) = 169`

`=> a = √(169) = +13 \: or -13`

But length can't be negative . So , length of each side = 13 cm

∴ Volume of cube = 13³ = 2197 cm³