Question

A rectangular prism has a length of 5/9 inch and a width of 1/4 inch. The volume of the prism is 35/72 cubic inch. Find the height of the prism. Answer as a mixed number in simplest form.

Answer 1

Answer:

$3\frac{1}{2}$ inches

Step-by-step explanation:

Formula to find the volume of a rectangular prism is V = lwh ⇒ h = $\frac{V}{lw}$

If l = 5/9 inch , w = 1/4 inch and V = 35/72 inch³ , then

h = $\frac{\frac{35}{72} }{\frac{5*1}{4*9} }$ = $\frac{35}{72}$ × $\frac{36}{5}$ = $\frac{7}{2}$ = $3\frac{1}{2} inches$

h = $3\frac{1}{2}$ inches