The edge of each cube used to build this rectangular prism is 14 centimeter long. Which equation shows the volume of the prism, in cubic centimeters?

Question

asked Oct 17, 2019 70.9k views

2 Answers

Redman · Answer 1 · 2019-10-21T07:01:26+0000

Answer:

((3)/(3) * (2)/(3) * (3)/(3))in^(3) = (2)/(3)in^(3)

Explanation:

The definition of volume is:

V=l * b * h

So, in this case we have:

$l = 3((1)/(3)) \ in=(3)/(3)  \ in$

$b=2((1)/(3)) \ in=(2)/(3) \ in$

$h=3((1)/(3)) \ in=(3)/(3) \ in$

Replacing all these values into volume's definition, we have:

$V=(3)/(3)  \ in * (2)/(3) \ in *(3)/(3) \ in\\V=(2)/(3) in^(3)$