A standard 20-gallon aquarium tank is a rectangular prism...

A standard 20-gallon aquarium tank is a rectangular prism that holds approximately 4600 cubic inches of water. The bottom glass needs to be 24 inches by 12 inches to fit on the stand.
Find the total amount of glass needed in square feet for the five faces.

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Key Concepts

Rectangular Prism

A rectangular prism is a three-dimensional geometric figure with six faces, all of which are rectangles. Its properties are defined by its length, width, and height, and it serves as a basic model for many real-world objects such as tanks, boxes, and buildings.

Surface Area Calculation

Surface area is the total area covered by the surfaces of a three-dimensional object. For a rectangular prism, the surface area is calculated by summing the areas of all faces. In problems where one or more faces are omitted (such as an open-top container), the calculation is adjusted accordingly to include only the relevant faces.

Volume Calculation

Volume is the measure of the amount of space occupied by a three-dimensional object. For a rectangular prism, it is computed by multiplying its length, width, and height. When the volume is known and one of the dimensions is specified, this relationship can be used to determine an unknown dimension, which is useful in design and construction challenges.

Unit Conversion

Unit conversion involves converting measurements from one unit to another to ensure consistency in calculations. In many practical problems, such as converting square inches to square feet for area measurements, it is essential to apply the correct conversion factors to obtain accurate and meaningful results.

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