Question

what will be corresponding change in the total surface area of a cube if the length of its edge is doubled.​

Answer 1

Answer:

Step-by-step explanation:

Let edge be x.

So TSA=6x^3

NOW,

EDGE IS DOUBLED SO IT IS 2X

TSA OF CUBE=6SIDE^2

TSA=6(2X)^2

=6×4x^2

= 24x^2

24x^2

------------

6x^2

4x^2

TSA INCREASES 4 TIMES .

I HOPE THIS WILL HELP U.

Answer 2

Answer:

total surface will be 4 times

let the edge of cube be =a

$tsa \: of \: cube \: = 6 {a}^{2}$

if length is doubled

$tsa \: of \: cube \: = 6 \times {4a}^{2} = 24 {a}^{2}$

on comparing both tsa

$\frac{24 {a}^{2} }{6 {a}^{2} } = \frac{4}{1}$