Question

There are 650 toothpicks in a​ regular-sized box. If a jumbo box is made by tripling all the dimensions of the​ regular-sized box, how many toothpicks will the jumbo box​ hold?

Answer 1

The jumbo box can hold 17,550 toothpicks

Explanation:

The volume of the box can be calculated multiplying all of its three dimensions.

If each dimension of the box is tripled, the new volume will be 3*3*3 times higher, so it will be 27 times higher the old volume.

If in the old volume there are 650 toothpicks, the new volume can have 27 times more, so the number of toothpicks the new box can hold is:

27 * 650 = 17550

The jumbo box can hold 17,550 toothpicks.