Question

What is the volume of a matchbox which measures 11cm by 6.4cm by

3cm?5) Small boxes measuring 3cm by 2cm by 1cm are packed into a large box which measures 15cm by 12 cm by 10cm. What is the
volume of:
a) the small boxes?
b) the large box?
c) How many small boxes will fit into the large box?

Answer 1

Explanation:

the volume of a box is always

length × width × height

in our first case here :

11 × 6.4 × 3 = 211.2 cm³

the volume of the small boxes is

3 × 2 × 1 = 6 cm³

the volume of the large box is

15 × 12 × 10 = 1,800 cm³

so,

1800/6 = 300 small boxes will fit into the large box.

because the dimensions of the small boxes are factors of the dimensions of the large box (3 is a factor of 15, 2 is a factor of 12, 1 is a factor of 10), it will be a perfect fill without any unused leftover pockets of space.

so, truly 300 small boxes will fit into the large box.