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

Answer:

$\texttt{Height of the prism}=1\frac{3}{4}$

Step-by-step explanation:

Volume of rectangular prism = Length x Width x Height

$\texttt{Volume of rectangular prism =}\frac{21}{32}\\\\\texttt{Length =}\frac{3}{4}\\\\\texttt{Breadth =}\frac{1}{2}$

Substituting

      $\frac{21}{32}=\frac{3}{4}\times \frac{1}{2}\times h\\\\h=\frac{7}{4}=\frac{4+3}{4}=1\frac{3}{4}$

    $\texttt{Height of the prism}=1\frac{3}{4}$