Question

delete surface area of cube is 64 square the volume of cube is​

Answer 1

Answer:

$96 \: cm {}^{2}$

Let a be the side of the cube.

Then given a3=64

or, a=4.

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

Answer 2

Given,

Lateral Surface Area of Cube = 64 Sq. units

$\star\;\boxed{\sf{Lateral\;Surface\;Area\;of\;Cube = 4a²}}$

$→\;{\sf{4a² = 64}}$

$→\;{\sf{a² = {\cancel{\frac{64}{4}}}}}$

$→\;{\sf{a² = 16}}$

$→\;{\sf{a = \sqrt{4²}}}$

$➝\;{\bf{a = 4}}$

.:. Edge of Cube = 4 units.

Now,

$\star\;\boxed{\sf{Volume\;of\;Cube = a³}}$

$→\;{\sf{4³}}$

$→\;{\sf{4×4×4}}$

$➝\;{\bf{64}}$

.:. Volume of Cube ◕➜ $\fbox\red{64\; Cubic\;units}$

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