Kym’s sawhorse is 39 inches tall, 27 inches long, and 19 inches wide. Its diagonal measurement, or the hypotenuse, is 40.14 inches. What is its total surface area? Round your answer to the nearest hundredth.(1 point)
in.2
The total surface area of a rectangular prism can be calculated by adding up the areas of all six sides.
Let's break down the sawhorse into its individual sides:
- Top and bottom sides: 27 inches long by 19 inches wide = 27 * 19 = 513 square inches (2 of these sides)
- Front and back sides: 39 inches tall by 19 inches wide = 39 * 19 = 741 square inches (2 of these sides)
- Left and right sides: 39 inches tall by 27 inches long = 39 * 27 = 1053 square inches (2 of these sides)
Now, let's add up the areas of all six sides:
513 * 2 + 741 * 2 + 1053 * 2 = 1026 + 1482 + 2106 = 4614 square inches
Therefore, the total surface area of Kym's sawhorse is 4614 square inches (rounded to the nearest hundredth).