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 answer

To calculate the total surface area of the sawhorse, we need to find the area of each of its six faces and then add them together.

1. The top surface area is length times width: 27 inches * 19 inches = 513 square inches.
2. The bottom surface area is also 513 square inches.
3. The front face area is height times width: 39 inches * 19 inches = 741 square inches.
4. The back face area is also 741 square inches.
5. One side face area is height times length: 39 inches * 27 inches = 1053 square inches.
6. The other side face area is also 1053 square inches.

Now, add all these areas together:
513 + 513 + 741 + 741 + 1053 + 1053 = 3614 square inches.

Therefore, the total surface area of Kym's sawhorse is 3614 square inches.