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Kelly is building a cuboid-shaped fish tank with walls that are made of glass. The fish tank will have a plastic rectangular floor with dimensions of 35 cm by 51 cm , and the glass walls will have a height of 26 cm .

Ask by Stewart Ruiz. in the United Kingdom
Mar 02,2025

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Tutor-Verified Answer

Answer

Kelly needs 4,472 square centimeters of glass for the walls of the fish tank.

Solution

Kelly’s fish tank has a plastic floor that is 35 cm by 51 cm, and the glass walls all have a height of 26 cm. Since the floor is plastic, the glass is used only for the four vertical walls. Step 1. Identify the dimensions of the walls.  • Two walls (the “shorter” walls) have a width of 35 cm and a height of 26 cm.  • The other two walls (the “longer” walls) have a length of 51 cm and a height of 26 cm. Step 2. Compute the area of each pair of walls.  • Area of the two 35 cm × 26 cm walls:   Area = 2 × (35 cm × 26 cm) = 2 × 910 cm² = 1820 cm².  • Area of the two 51 cm × 26 cm walls:   Area = 2 × (51 cm × 26 cm) = 2 × 1326 cm² = 2652 cm². Step 3. Find the total area of glass needed:  Total glass area = 1820 cm² + 2652 cm² = 4472 cm². Thus, Kelly will need 4472 cm² of glass for the walls of the fish tank. (Optional additional note: If you ever need to find the volume of the fish tank, it would be 35 cm × 51 cm × 26 cm = 46,410 cm³.)

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Extra Insights

Did you know that the concept of a cuboid dates back to ancient civilizations, where such shapes were used in architecture and storage? The Egyptians utilized rectangular shapes for their tombs and granaries, ensuring efficient use of space. A fish tank is a modern twist on this ancient geometry, turning mathematics into a home for aquatic life! Now, when constructing a fish tank, it’s vital to remember that while glass is visually appealing, it can be fragile. Always ensure that the glass is of suitable thickness to withstand water pressure, especially at a height of 26 cm. A common mistake is underestimating the weight of water, so ensure your base can support it, which is critical for both safety and longevity of your tank!

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