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.
Q. 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.
Write Volume Formula: Write down the formula for the volume of a right rectangular prism.The formula for the volume V of a right rectangular prism is V=l×w×h.
Plug in Values: Plug in the known values into the volume formula.We know the volume V is 882 cubic inches, the width w is 7 inches, and the height h is 7 inches. So we have 882=l×7×7.
Simplify Equation: Simplify the equation to solve for the length l. To find the length, we need to divide both sides of the equation by the product of the width and height 7×7. So we get l=7×7882.
Calculate Length: Calculate the length l. Now we calculate l=(7×7)882=49882=18.
Check Rounding: Check if rounding is necessary.The 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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