Question

There are 850 toothpicks in a​ regular-sized box. If a jumbo box is made by doubling all the dimensions of the​ regular-sized box, how many toothpicks will the jumbo box​ hold?

Answer 1

Answer:

6800 toothpicks

Step-by-step explanation:

Capacity (how many can be held) is another word for volume.

The equation for volume is

V = lwh

And in the regular-sized box V = 850 toothpicks, so

850 = lwh

We need to double each dimension. Multiply length by 2, width by 2, and height by 2. 2*2*2 = 8, so multiply both sides by 8.

8* 850 = 8 * lwh

6800 = lwh

The jumbo box can hold 6800 toothpicks.