Question

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

2,296.23 in2
2,296.23 in squared

9,489.51 in2
9,489.51 in squared

1,416.33 in2
1,416.33 in squared

2,832.67 in2

Answer 1

no

Answer 2

To find the surface area of the turtle's tank without the top cover, we need to find the area of each of the 5 faces (front, back, top, bottom, and two sides).

Front and back faces:
Length = 33.93 inches
Height = 17.69 inches
Area = 2 * (33.93 in * 17.69 in) = 1195.91 in²

Top and bottom faces:
Length = 33.93 inches
Width = 15.81 inches
Area = 2 * (33.93 in * 15.81 in) = 1072.65 in²

Side faces (two of them):
Height = 17.69 inches
Width = 15.81 inches
Area = 2 * (17.69 in * 15.81 in) = 559.22 in²

Total surface area = 1195.91 + 1072.65 + 559.22 = 2827.78 in²

Therefore, the surface area of the turtle's tank without the top cover is approximately 2827.78 in². Rounded to the nearest hundredth, the answer is 2,827.78 in².

Answer 3

I apologize for the error in my previous response. Let's go through the calculation again.

Front and back faces:
Length = 33.93 inches
Height = 17.69 inches
Area = 2 * (33.93 in * 17.69 in) = 1197.64 in²

Top and bottom faces:
Length = 33.93 inches
Width = 15.81 inches
Area = 2 * (33.93 in * 15.81 in) = 1071.15 in²

Side faces (two of them):
Height = 17.69 inches
Width = 15.81 inches
Area = 2 * (17.69 in * 15.81 in) = 559.06 in²

Total surface area = 1197.64 + 1071.15 + 559.06 = 2827.85 in²

Therefore, the correct surface area of the turtle's tank without the top cover is approximately 2827.85 in². Rounded to the nearest hundredth, the answer is 2,827.85 in².