An aquarium can be modeled as a right rectangular prism and it can hold 1368 cubic inches of water when is full. Its length is 19 in and width is 9 in. Find the height of the aquarium in inches. Rould your answer to the nearest tenth if necessary.
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To find the height of the aquarium, we use the formula for the volume of a rectangular prism: \( V = l \times w \times h \). We know the volume \( V = 1368 \) cubic inches, length \( l = 19 \) inches, and width \( w = 9 \) inches. First, we can rearrange the formula to solve for height \( h \): \[ h = \frac{V}{l \times w} \] Now plug in the values: \[ h = \frac{1368}{19 \times 9} \] \[ h = \frac{1368}{171} \] \[ h = 8 \] So, the height of the aquarium is 8 inches. Happy fish-keeping! After all, your aquatic friends deserve the perfect home!