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?

Guest Feb 27, 2020

#1**+1 **

say the box is a cube

larger box

x * x * x = x^3 = 5400 in^{3}

x= 17.54 in

so the smaller box is 5.84 * 5.84 * 5.84 = 200 in^{3}

..... or 5400 /(3 *3*3) = 200 in^{3}

ElectricPavlov Feb 27, 2020

#2**+1 **

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 **

Dragan Feb 27, 2020