Question

THE RATIO OF THE SIDE OF A CUBOID IS 2:3:5.IF THE VOLUME OF A CUBOID IS 21,870 m³ .FIND THE TOTAL SURFACE AREA OF CUBOID​

Answer 1

Answer:

Let us start with a 2:3:5[m] cuboid. Its volume is 2*3*5=30[m^3]. Its surface is 2*(2*3+2*5+3*5)=62[m^2]

In order to achieve a volume of 21870[m^3] we need to scale up the volume by 21870/30=729.

In order to achieve such a scale up, you need to scale the lengths by 3√ of the said ratio. 3√(729)=9. The length scaling will scale the surface by a squared ratio. 9^2=81. So the surface will end up being scaled by 81.

(You can also do this in one step: 729^(2/3)=81.)

So the initial surface will be scaled up to: 62*81=5022[m^2]

I like this method. It shows how length,area and volume scalings interact.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Here is the ans.

#its Sayan.