Sammy has two similar boxes. One box has side lengths that are 3 times larger than the other box. If the larger box has a volume of 5400 inches cubed, what is the volume of the smaller box?
say the box is a cube
larger box
x * x * x = x^3 = 5400 in3
x= 17.54 in
so the smaller box is 5.84 * 5.84 * 5.84 = 200 in3
..... or 5400 /(3 *3*3) = 200 in3
Sammy has two similar boxes. One box has side lengths that are 3 times larger than the other box. If the larger box has a volume of 5400 inches cubed, what is the volume of the smaller box?
Let the larger box have these dimensions: 30 x 15 x 12 = 5400 in³
The volume of the smaller box is: ( 30/3 )*( 15/3 )*( 12/3 ) = 200 in³