Apply the technique of using nets to find the surface area of a turtle's tank, which measures 33.93 inches long by 15.81 inches wide by 17.69 inches tall. What is the surface area of the tank if the tank does not include a top cover? Round the answer to the nearest hundredth.
To find the surface area of the tank without the top cover, we need to find the surface area of each of the six sides and then add them together.
1. Front and back sides (both are the same size): 33.93 inches long by 17.69 inches tall
Surface area of one front or back side = length * height
Surface area of one front or back side = 33.93 * 17.69 = 600.67 square inches
Since there are two of these sides, the total surface area for both front and back sides is 2 * 600.67 = 1201.34 square inches
2. Side sides (both are the same size): 15.81 inches wide by 17.69 inches tall
Surface area of one side side = width * height
Surface area of one side side = 15.81 * 17.69 = 280.10 square inches
Since there are two of these sides, the total surface area for both side sides is 2 * 280.10 = 560.20 square inches
3. Bottom side: 33.93 inches long by 15.81 inches wide
Surface area of bottom side = length * width
Surface area of bottom side = 33.93 * 15.81 = 536.23 square inches
Add the surface areas of all six sides together to find the total surface area of the tank without the top cover:
1201.34 + 1201.34 + 560.20 + 560.20 + 536.23 = 4059.31 square inches
Therefore, the surface area of the turtle's tank without the top cover is approximately 4059.31 square inches.