Question

How many cubes with side lengths of 1/2 cm does it take to fill the prism? Height: 3/2 cm Width:1 cm length: 2 cm

Answer 1

24 cubes

Explanation:

Please see the pictures below:

(I hope this helped! :) )

Answer 2

24

Explanation:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with
`(1)/(2)` cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Width is 1 cm, so there can fit 2 cubes of length
`(1)/(2)` cm and length is 2 cm, where 4 cubes of length
`(1)/(2)` cm can fit. So, in total (4 × 2) = 8 cubes of
`(1)/(2)` cm length.

Now, height of the prism is
`(3)/(2)` cm where 3 cubes of length
`(1)/(2)` cm can fit.

Therefore, in total there can be (8 × 3) = 24 cubes of
`(1)/(2)` cm length. (Answer)