Question

A cube has a lateral surface area of 64 sq.m. find the total surface area of the cube.​

Answer 1

Answer:

surface area =64 sqm

4a sq = 64

a sq=16

a=4

total surface area= 6a sq

= 6×4×4=96sq m

Answer 2

Given that

Lateral surface area of cube is

$64 {m}^{2}$

To find

Total surface area of cube

Solution

As we know that

$lateral \: surface \: area \: of \: cube = 4 \times {a}^{2}$

where a is side of cube hence

$64 = 4 \times {a}^{2}$

${a}^{2} = \frac{64}{4}$

by dividing we get

${a}^{2} = 16$

as here 16 is the square of 4 hence

$a = 4m$

then

$total \: surface \: area \: of \: cube = 6 \times {a}^{2}$

$total \: surface \: area \: of \: cube = 6 \times {4}^{2}$

by multiplication we get

$total \: surface \: area \: of \: cube = 96 {m}^{2}$

Hence Total surface area of cube is

$96 {m}^{2}$