Question

the volume of a cube is 64cmcube ,its surface area is​

Answer 1

Answer:

a=(√64)^1/3=4

Then its surface area will be 6×a2=6×16=96 cm2.

ANS:- 96cm^2

Step-by-step explanation:

thanks,

Answer 2

Given

• Volume of a cube = 64 cm³.

⠀

To find

• Surface area of the cube.

⠀

Solution

• To find the surface area, we need to find the side of cube.
• Let the side of the cube be x cm.

⠀

We know that

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Volume_{(Cube)} = a^3{\bigstar}}}}$

⠀

$\large{\tt{\longmapsto{Volume = (a)^3}}}$

⠀

$\large{\tt{\longmapsto{64 = a^3}}}$

⠀

$\large{\tt{\longmapsto{a = \sqrt[3]{64}}}}$

⠀

$\large{\bf{\longmapsto{a = 4 cm}}}$

⠀

Now, calculating surface area

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Surface\: Area_{(Cube)} = 6a^2{\bigstar}}}}$

⠀

$\large{\tt{\longmapsto{Surface\: area = 6 \times (4)^2}}}$

⠀

$\large{\tt{\longmapsto{Surface\: area = 6 \times 16}}}$

⠀

$\large{\bf{\longmapsto{Surface\: area = 96cm^2}}}$

⠀

Hence,

• Surface area of the cube is 96 cm².

━━━━━━━━━━━━━━━━━━━━━━