43.If a rectangular solid has a volume of 32 and then each dimension is doubled, what happens to the volume?

Let's look at something. If we had a rectangular solid that has dimensions of 1,1, and 2, the volume would be 2. If we doubled the dimensions to 2,2, and 4, it would be 16. That is 8 times the size of the initial solid.
If we take this and apply it on this solid, the volume would be 256.
Let's say the dimensions are 2,2, and 8. If we double it, it would be 4,4, and 16, the volume would be 256.

So, the volume would be 256 units³.

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ap8997154 ap8997154 · Answer 2 · 2022-07-21T11:08:48+02:00

Volume is a three-dimensional scalar quantity. The volume of the rectangular solid is 256 units³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the rectangular solid has a volume of 32 unit³. Therefore, the volume of the rectangular solid can be represented by,

Volume = Length × Breadth × Height

32 units³ = Length × Breadth × Height

Now, if each dimension is doubled, then the volume of the rectangular solid is,

2(Length) × 2(Breadth) × 2(Height)

= 8 × Length × Breadth × Height

= 8 × 32 units³

= 256 units³

Hence, the volume of the rectangular solid is 256 units³.

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