Question

The volume of a rectangular box is 100 cubic meters. If the minimum dimension
of any given side is 1 meter, which of the alternatives is its greatest possible
length? *
O 100
O 80
O 110
O90
​

Answer 1

Answer:

100 meter is the correct ànswer

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Answer 2

Given:

The volume of a rectangular box=100m³

Minimum dimension of any side=1m

To find:

The greatest possible length

Solution:

The greatest possible length is 100m.

We can find the length by following the given steps-

We know that a rectangular box is cuboidal in shape and has a length, width, and height.

The volume of a rectangular box is the product of all its dimensions.

Volume=length of the box×width of the box×height of the box

Now, we know that the minimum dimension of any given side is 1m.

To maximize the length of the box, we need to minimize its width and height.

So, let us assume that the width and height of the box are the least and 1m each.

The volume of the box=100m³

Length×width×height=100

length×1×1=100

Length=100m

Therefore, the greatest possible length is 100m.