Question

There are 750 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? (With work pls)

Answer 1

6000

Explanation:

Answer 2

To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.

When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.

Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write

`xyz=750`

Similarly we can write for the jumbo box as,

`(2x)(2y)(2z)`

which is equal to
`8(xyz)`

So this is 8 times the original of
`xyz`. Hence the jumbo box will have 8 times 750 number of toothpicks.

ANSWER:
`8*750=6000` toothpicks