Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 8 x 20. There are three inches of sand in the bottom of the terrarium. Zach gets a new terrarium that is larger. The base of the new terrarium is 10 x 24 inches. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?

Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³

Volume of sand in the new terrarium=10*24*h
where
h------------> is the deep in the new terrarium
remember that
the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in

the answer is 2 in