There are 550 toothpicks in a small box. If a jumbo box is made by doubling all the dimensions of the small box, how many toothpicks will the jumbo box hold?

Respuesta :

Answer:4400

Step-by-step explanation:

Given

550 toothpicks in can fit in a small box

If all the dimension of small box is doubled to make a jumbo box

Suppose box is in the form of cuboid

then its volume is [tex]length\times breadth\times height[/tex]

If each dimensions is doubled then

Volume is [tex]=(2Length)(2breadth)(2height)[/tex]

Volume become 8 times of original

So no of toothpicks also becomes 8 times [tex]=550\times 8=4400[/tex]