Question

O cube is
having
lateral
surface area= 64 cm² find Volume
and total surface
store​

Answer 1

Answer:

Lateral surface area of cube = 4(l

2

)

Hence 64 = 4(l

2

)

⇒ l

2

=

4

64

= 16

Therefore, l=4 cm

Thus, the side of the cube is 4 cm.

Answer 2

Answer:

Volume is 64cm³ and Total surface area is 96 cm²

Step-by-step explanation:

formula for lateral surface area of cube =

$4{a}^{2}$

$4 {a}^{2} = 64 c {m}^{2}$

dividing both sides by 4 we get

${a}^{2} = 16$

$a = \frac{ + }{} \sqrt{16 \: \: c {m}^{2} }$

$a = \frac{ + }{} 4 \: c m$

since area cannot be negative hence

$a = 4 \: cm$

formula for volume =

${a}^{3}$

${(4 \: cm)}^{3}$

$64 \: {cm}^{3}$

formula for surface area =

$6 {a}^{2}$

$6 ({4 \: cm})^{2}$

$6(16 \: { cm}^{2} )$

$96 \: c {m}^{2}$