Question

the volume of cube is 64cm^3 find its surface area
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Answer 1

Answer:

The surface area of the cube is 96 cm².

Step-by-step explanation:

If the length of the sides of a cube is 'a' cm.

Then , volume of the cube will be a³ cm³.

∵ A cube has six square planes , all having sides of length 'a' cm .

So , the surface area of the cube will be the sum of the areas of six planes.

Then , area of one square plane is a² cm².

Hence , the total surface area of the cube will be ( 6 × a² ) cm².

In this case , a³ = 64 ⇒ a³ = 4³ ⇒ a = 4 cm.

∴ The total surface area will be ( 6 × a² ) = ( 6 × 4² ) = ( 6 × 16 ) = 96 cm².

Answer 2

Volume of cube = 64 cm^3
a^3 = 64
a = cube root of 64
a = 4 cm

Surface Area = 6a^2
SA = 6*4^2
SA = 6*16
SA = 96 cm^2

Therefore, the surface area of cube is 96 cm^2.