Question

A rectangular prism has a length of 3/4 cubic inch and a width of 1/2 inch. The volume is 21/32 cubic inch. Find the height of the prism. Write your answer as a mixed number in simplest form.

Answer 1

21 / 32 = (3/4) * (1/2) * height

21 / 32 = (3 / 8) * height

21 / 32 * (3 / 8) = height =

63 / 256 inches

Answer 2

`\texttt{Height of the prism}=1(3)/(4)`

Explanation:

Volume of rectangular prism = Length x Width x Height

`\texttt{Volume of rectangular prism =}(21)/(32)\\\\\texttt{Length =}(3)/(4)\\\\\texttt{Breadth =}(1)/(2)`

Substituting

`(21)/(32)=(3)/(4)* (1)/(2)* h\\\\h=(7)/(4)=(4+3)/(4)=1(3)/(4)`

`\texttt{Height of the prism}=1(3)/(4)`