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.(1 point)
Responses
9,489.51 in2
9,489.51 in squared
2,296.23 in2
2,296.23 in squared
1,416.33 in2
1,416.33 in squared
2,832.67 in2
To find the surface area of the tank, we need to find the surface area of each side separately and then add them together.
1. Surface area of the front and back sides:
- Front side = 33.93 inches long * 17.69 inches tall = 600.57 square inches
- Back side = 33.93 inches long * 17.69 inches tall = 600.57 square inches
Total = 600.57 + 600.57 = 1,201.14 square inches
2. Surface area of the left and right sides:
- Left side = 15.81 inches wide * 17.69 inches tall = 280.36 square inches
- Right side = 15.81 inches wide * 17.69 inches tall = 280.36 square inches
Total = 280.36 + 280.36 = 560.72 square inches
3. Surface area of the top:
Since the tank does not have a top cover, the surface area of the top is not included in the total surface area.
4. Total surface area excluding the top cover:
1,201.14 square inches (front and back) + 560.72 square inches (left and right) = 1,761.86 square inches
Rounded to the nearest hundredth, the surface area of the tank without a top cover is 1,761.86 in2.
Therefore, the closest option to the correct answer is:
1,416.33 in2