help needed

Question

How many 2cm³ cubes could fit into a box with length 8cm, width 4cm and height 10cm? 

A.160

b.126

c.40 

i get 160, but that's not the answer.

 

Answer 1

A 2cm³ is 2cm * 2cm * 2cm   (it is a cube).

 

The dimensions of the box are multiples of 2 cm, so the cubes fit nicely:

     8 cm:   4 cubes (8cm/2cm) in the length

     4 cm:   2 cubes (4cm/2cm) in the width

    10 cm:   5 cubes (10cm/2cm) in the height

So, 4 * 2 * 5 = 40 cubes totally fill the box,