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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.

2 Answers

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

21 / 32 = (3 / 8) * height

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

63 / 256 inches



User Miszczu
by
6.7k points
7 votes

Answer:


\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)

User Ron Cohen
by
7.5k points