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An aquarium can be modeled as a right rectangular prism and it can hold 882 cubic inches of water when it is full. Its width is 7 in and height is 7 in. Find the length of the aquarium in inches. Round your answer to the nearest tenth if necessary.

An aquarium can be modeled as a right rectangular prism and it can hold 882882 cubic inches of water when it is full. Its width is 77 in and height is 77 in. Find the length of the aquarium in inches. Round your answer to the nearest tenth if necessary.

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Q. An aquarium can be modeled as a right rectangular prism and it can hold 882882 cubic inches of water when it is full. Its width is 77 in and height is 77 in. Find the length of the aquarium in inches. Round your answer to the nearest tenth if necessary.
  1. Write Volume Formula: Write down the formula for the volume of a right rectangular prism.\newlineThe formula for the volume VV of a right rectangular prism is V=l×w×hV = l \times w \times h.
  2. Plug in Values: Plug in the known values into the volume formula.\newlineWe know the volume VV is 882882 cubic inches, the width ww is 77 inches, and the height hh is 77 inches. So we have 882=l×7×7882 = l \times 7 \times 7.
  3. Simplify Equation: Simplify the equation to solve for the length ll. To find the length, we need to divide both sides of the equation by the product of the width and height 7×77 \times 7. So we get l=8827×7l = \frac{882}{7 \times 7}.
  4. Calculate Length: Calculate the length ll. Now we calculate l=882(7×7)=88249=18l = \frac{882}{(7 \times 7)} = \frac{882}{49} = 18.
  5. Check Rounding: Check if rounding is necessary.\newlineThe problem asks to round the answer to the nearest tenth if necessary. Since our answer is a whole number, no rounding is required.

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