Question

There are 150 nails in a small box. If a jumbo box is made by tripling all the dimensions of the small box, how many nails will the jumbo box hold?

Choices:
A) 4,050 NAILS
B) 450 NAILS
C) 1,350 NAILS
D) 12,150 NAILS

Answer 1

Option A is the answer.

Explanation:

Total number of nails in small a box = 150

Its given that the jumbo box is made by tripling the smaller box.

By tripling the 3 dimensions we will have 3 x 3 x 3 times the original capacity.

The number of nails will be 27 times the original volume.

Hence, the new count is :

`150*27=4050` nails.

Answer 2

The correct option is A): "4,050 Nails" because if each side of the box is tripled, then the volume of the box will be increased by 3^3 = 27 times

The first 3 for the "triple", second 3 for the 3 dimensions of the box
so, 150 *27 would be the number of nails = 4050