Question

How many cubes with side lengths of 1 3 cm 3 1 ​ cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text does it take to fill the prism?

Answer 1

48cubes

Explanation:

Answer 2

48 cubes takes to fill the given prism.

Explanation:

Given that the length of the prism is
`(8)/(3)` cm, and it is made up of eight
`(1)/(3)` cm cubes

The width is
`(3)/(3)` cm, so it is made up 3 rows of
`(1)/(3)` cm cubes

That means the bottom layer of cubes is made up of 3 rows of 8 cubes

`3* 8=24`

∴ the bottom layer is made of 24 cubes

The height is
`(2)/(3)` cm, so it is made up of 2 layers of
`(1)/(3)` cm cubes.

So there are 2 layers of 24 cubes

`2* 24=48`

∴ 48 cubes takes to fill the given prism.