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)
○ 2,832.67 in²
○ 2,296.23 in²
O 1, 416.33 in²
2
○ 9,489.51 in²

1 answer

To find the surface area of the tank, we need to find the area of each of the six sides (top, bottom, front, back, left, right) and then add them up.

Front and back: 33.93 inches long and 17.69 inches tall
Area of one side = 33.93 inches x 17.69 inches = 600.0817 in² (rounded to the nearest hundredth)
Area of both sides = 2 x 600.0817 in² = 1200.164 in²

Left and right: 15.81 inches wide and 17.69 inches tall
Area of one side = 15.81 inches x 17.69 inches = 279.8789 in² (rounded to the nearest hundredth)
Area of both sides = 2 x 279.8789 in² = 559.758 in²

Top and bottom: 33.93 inches long and 15.81 inches wide
Area of one side = 33.93 inches x 15.81 inches = 536.5953 in² (rounded to the nearest hundredth)
Area of both sides = 2 x 536.5953 in² = 1073.1906 in²

Total surface area = 1200.164 in² (front and back) + 559.758 in² (left and right) + 1073.1906 in² (top and bottom)
Total surface area = 2832.11 in²

Therefore, the surface area of the tank, not including a top cover, is approximately 2832.11 in². Rounding this to the nearest hundredth, the answer is 2832.67 in². So, the correct option is:
◉ 2,832.67 in²