Question

the surface area of a cube is 1176 find the volume of the cube

Answer 1

The formula of total surface of cube is S= 6*a*a, so 
6*a*a=1176 
a*a=1176:6 
a*a=196 
a*a=14*14 
a=14 cm 
The formula of volume of cube is V=a*a*a, so, V= 14*14*14,V=2744 cm3

Answer 2

Surface area of cube = 6a²,
Now,
6a² = 1176

a² = 1176/6 = 196

a = √ 196 = 14

Therefore,
Volume of cube = a³ = ( 14)³ = 2744.



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