Question

A cube is made by arranging 64 cubes having side of 1cm,find the total surface area of cube so formed

Answer 1

$\bf{\huge{\underline{\boxed{\sf\orange{Answer:\:96\:cm^2}}}}}$

Given :

•  A  Cube is made by arranging 64 cubes.
• Side of cube = 1 cm

To Find :

• Total surface area of cube

Formula used :

• Volume of cube = ( side ) ³
• Total surface area of cube = 6 × ( side )²

$\huge\underline\green{\tt Solution:}$

Volume of 64 cubes having side 1 cm = 1³ × 64 = 64 cm³

Now,

Side of the cube formed after arranging 64 cubes = ∛64 = 4 cm

Now,

Total surface Area = 6 × ( 4 )²

                               = 6 × ( 16 )

                               = 96 cm²

Therefore,

Total surface area of cube is 96 cm²