Question

2 boxes shown are cuboids. The bigger cuboid has a length of 50 cm, a width of 30 cm, and a height of 20 cm. The smaller cuboid has a length of 10 cm, a width of 3 cm, and a height of 4 cm. How many smaller boxes would you need to fill up the bigger box entirely?

Answer 1

To calculate the number of smaller boxes that would fill up the bigger box entirely, we need to divide the volume of the bigger box by the volume of the smaller box.

The volume of the bigger box is:

Volume = length x width x height

Volume = 50 cm x 30 cm x 20 cm

Volume = 30,000 cm³

The volume of the smaller box is:

Volume = length x width x height

Volume = 10 cm x 3 cm x 4 cm

Volume = 120 cm³

Now we can divide the volume of the bigger box by the volume of the smaller box to get the number of smaller boxes that would fill up the bigger box:

Number of smaller boxes = Volume of bigger box / Volume of smaller box

Number of smaller boxes = 30,000 cm³ / 120 cm³

Number of smaller boxes = 250

Therefore, we would need 250 smaller boxes to fill up the bigger box entirely.