Question

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?

Answer 1

its 4/4 x 3/4 x 3/4 cm3 =9/16 cm3

Answer 2

`((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)`