Question

Which rectangular prism has the greatest volume?

Answer 1

The volume of the prism with the Greatest volume is 250cm³

The volume of a prism is calculated by multiplying the prism's base area by its height. Mathematically expressed as

V = Base Area×Height

, it represents the space enclosed within the prism.

Since the prism is a cuboid, then

V = l × w × h

Where h is the height , l is the length and w is the width.

V = 5 × 5 × 10

V = 250 cm³

The volume of the prism is 250cm³

Answer 2

Answer: First prism has the greatest volume.

Explanation:

Since we have given that

Volume of prism = Length × Breadth × Height

So, we need to find the greatest volume, for which we find volumes of all figures:

1) Volume of prism would be

`5* 7* 5\\\\=175\ cm^3`

2) Volume of prism would be

`10* 3* 4\\\\=120\ cm^3`

3) volume of prism would be

`7* 7* 3\\\\=147\ cm^3`

4) Volume of prism would be

`5* 3* 7\\\\=105\ cm^3`

Hence, first prism has the greatest volume.