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18. A ructangular brich has a ienget of 5 centimetors, width of 9 centimuters and a haight of 20 centimeters. What is the surface ares of that brick?

Ask by Murphy Weber. in the United States
Feb 26,2025

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Answer

The surface area of the brick is 650 square centimeters.

Solution

To find the surface area of a rectangular brick, use the formula:   Surface Area = 2(lw + lh + wh) where l = length, w = width, and h = height. Given:   l = 5 cm   w = 9 cm   h = 20 cm Step 1: Calculate the area of each face:   lw = 5 cm × 9 cm = 45 cm²   lh = 5 cm × 20 cm = 100 cm²   wh = 9 cm × 20 cm = 180 cm² Step 2: Sum the face areas:   45 cm² + 100 cm² + 180 cm² = 325 cm² Step 3: Multiply by 2 to get the total surface area:   Surface Area = 2 × 325 cm² = 650 cm² Thus, the surface area of the brick is 650 square centimeters.

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To find the surface area of a rectangular brick, you'll want to use the formula: Surface Area = 2(lw + lh + wh), where l is the length, w is the width, and h is the height. So here, your dimensions are length = 5 cm, width = 9 cm, and height = 20 cm. Plugging in the values: Surface Area = 2(5 * 9 + 5 * 20 + 9 * 20) = 2(45 + 100 + 180) = 2(325) = 650 square centimeters. Voilà! Your brick has a surface area of 650 cm²! When you're calculating surface areas, it's easy to make mistakes—like accidentally flipping length and width or miscalculating dimensions. A common pitfall is forgetting to double the area of each side. Always double-check your work, and maybe use a calculator to avoid simple arithmetic errors!

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