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Sagot :
Volume of a Rectangular Prism = Length X Width X Height
Given:
[tex]\begin{gathered} \text{Length = 6}\frac{1}{3}\text{ meters} \\ \text{Wid.th = 3 meters} \\ \text{Volume =90}\frac{1}{4}\text{ cubic meters} \end{gathered}[/tex]We substitute the values above into the formula for volume.
[tex]90\frac{1}{4}=6\frac{1}{3}\times3\times Height[/tex]We then solve the equation above for the height of the prism.
[tex]\begin{gathered} \frac{361}{4}=\frac{19}{3}\times3\times Height \\ \frac{361}{4}=19\times Height \\ \text{Divide both sides by 19} \\ \text{Height =}\frac{361}{4}\div19 \\ =\frac{361}{4\times19} \\ =\frac{361}{76} \\ =4\frac{3}{4}\text{ meters} \end{gathered}[/tex]The height of the rectangular prism is 4 3/4 meters.
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