SOLUTION: Please show your work I have a final coming upComparing Volumes Suppose you have two boxes, each of which is a cube. Suppose further that the length of a side of the second box i

Algebra ->  Formulas -> SOLUTION: Please show your work I have a final coming upComparing Volumes Suppose you have two boxes, each of which is a cube. Suppose further that the length of a side of the second box i      Log On


   

Question 1006531: Please show your work I have a final coming upComparing Volumes Suppose you have two boxes, each of which is a cube. Suppose further that the length of a side of the second box is twice as long as the length of a side of the first box. If the length of a side of the larger box is 1 centimeters, give the volume of each box.
The volume of first (smaller) box is cm³.
The volume of second (larger) box is cm³.
How many of the smaller boxes will fit inside the larger box?
smaller boxes will fit inside the larger box.
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Large box has a volume is 1 cm^3.
Small box has a volume of (1/2 cm)^3=(1/8)cm^3
8 smaller boxes will fit inside the larger box.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two boxes. Big and small.

Ratio of side lengths big to small is 2:1.
Big box side length is 1, ensuring that side length of small box is 1%2F2.

Big box volume, 1%5E3=1.
Small box volume, %281%2F2%29%5E3=1%2F8.