Math, asked by vishavjasrotia3535, 1 year ago

If each edge of a cuboid is doubled its volume will become

Answers

Answered by sherafgan354
2

Answer:

Volume will become 8 times of the old volume if its each edge is doubled

Step-by-step explanation:

The volume of cuboid is given by the formula

Volume = Length * width * height

Now

Let the we have a given cuboid and its

length = l

Width = w

Height = h

Then it s volume would be

V = l * w *h


Now according to given condition each of its edge is doubled

which means that each of it length width and height will be doubled

So

New length = 2 l

New width = 2w

New height = 2h

Now

New volume of cuboid = 2 l * 2 w * 2 h

                                       = 8 * (l * w * h)

As old volume = l*w*h

so

New Volume = 8(Old volume)

So volume will become 8 times of the old volume

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