A rectangular-shaped box has the following dimensions: 12 yards, 8 yards, and 18 yards. What is the surface area of the box? Surface Area =
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To find the surface area of a rectangular box, you can use the formula: Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height. Substituting in your dimensions (l = 12 yards, w = 8 yards, h = 18 yards), it becomes: Surface Area = 2((12 * 8) + (12 * 18) + (8 * 18)) = 2(96 + 216 + 144) = 2(456) = 912 square yards. Did you know that the concept of surface area is not just about boxes? It's fundamental in fields such as architecture and manufacturing, where understanding the surface area helps in calculations for materials needed for construction or product design. Knowing how much surface area you have can also influence decisions about painting, insulation, and even transportation! In practical terms, common mistakes while calculating surface area often arise from forgetting to multiply by 2 or mixing up the dimensions. Ensure you always organize your work by clearly labeling length, width, and height. A tip is to draw a diagram to visualize the box and keep track of all sides, making it easier to apply the correct formula without missing anything!
