Question

total surface area of a cubical Box is 1176cm2 find it edge

Answer 1

$\mathfrak{solution}$

in question given

total surface area ( TSA) of cube box = 1176cm^2

here we find the edge of cube = ?
using formula

Total surface area of cube ( TSA) of a cube = 6 × edge^2

then,

TSA of cube = 6 × edge^2

1176cm^2 = 6 × edge^2

$\frac{1176 {cm}^{2} }{6} = {edge}^{2} \\ \\ = > 196 = {edge}^{2} \\ \\ = > edge \: = \sqrt{196} \\ \\ = > edge \: = 14cm$

therefore the edge of cuboid 6 cm.

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Answer 2

In this question,

It is given that,

T.S.A of Cube = 1176 cm^2

Now, We are required to find out Its edge.


$= > 6{a}^{2} = 1176 \: {cm}^{2}$

$= > {a}^{2} \: = \frac{1176}{6} \: {cm}^{2}$

$= > {a}^{2} \: = 196 \: {cm}^{2}$

$= > a \: \: = \sqrt{196}$

$= > \: a \: \: = 14 \: cm \:$


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