Which rectangular prism has the greatest volume?

Question

asked Nov 12, 2019 217k views

2 Answers

Shabria · Answer 1 · 2019-11-14T02:12:38+0000

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

VVP · Answer 2 · 2019-11-16T05:14:52+0000

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.