Question

lateral surface area of cube is 256cm square find its volume​

Answer 1

Step-by-step explanation:

lateral surface of cube = 256 cm²

4( side )² = 256

side² = 256 ÷ 4

side² = 64

side = √64 = 8cm

volume of the cube = ( side )²

= 8 × 8 × 8 = 512cm²

Answer 2

question :-

lateral surface area of cube is 256cm square find its volume ?

Given :-

$\texttt{lateral \: surface \: area \: of \: }$

$\texttt{cube \: is \: 256 \: cm \: square}$

Solution :-

Here we have to find side of the cube .

$\mathsf{:\longrightarrow \: lateral \: surface \: area \: of \: cube \: = 256cm^{2} }$

$\mathsf{:\longrightarrow \: 4(side)^{2} \: = \: 256cm^{2} }$

$\mathsf{:\longrightarrow \: side^{2} \: = \: \frac{256}{4} }$

$\mathsf{:\longrightarrow \: side^{2} \: = \: 64 }$

$\mathsf{:\longrightarrow \: side \: = \sqrt{64} = 8}$

$\mathsf{:\longrightarrow \: so \: the \: side \: of \: the \: cube \: is \: 8cm}$

Now ,

Here we have to find the volume of cube .

by using formula .

Formula :-

$\boxed{\mathsf{\: volume \: of \: cube \: is \: = (side)^{3} }}$

Solution :-

• Side = 8 cm

$\mathsf{: \longrightarrow\: volume \: of \: cube \: is \: = (side)^{3} }$

$\mathsf{: \longrightarrow\: volume \: of \: cube \: is \: = (8cm)^{3} }$

$\mathsf{: \longrightarrow\: volume \: of \: cube \: is \: = \: 512cm^{3} }$

Final Answer:-

$\boxed{\mathsf{\: volume \: of \: cube \: is \: = 512cm^{3} }}$