Question

A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters. What is the height of the prism? A. 2.9 mB. 6.525 mC. 11.23 mD. 21.83 m

Answer 1

The volume of a rectangular prism can be calculated as the product of its three dimensions:

`V=L\cdot W\cdot H`

Since the length is 3.8 meters, the width is 1.5 meters and the volume is 16.53 m³, we can solve the volume equation for the height:

`\begin{gathered} 16.53=3.8\cdot1.5\cdot H \\ 5.7\cdot H=16.53 \\ H=(16.53)/(5.7) \\ H=2.9\text{ meters} \end{gathered}`

The height is equal to 2.9 meters, therefore the correct option is A.