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

2,832.67 in2
2,832.67 in squared

1,416.33 in2
1,416.33 in squared

2,296.23 in2
2,296.23 in squared
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1 answer

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

Front and back:
- Width x Height = 15.81 in x 17.69 in = 280.06 in2 x 2 = 560.12 in2

Left and right sides:
- Length x Height = 33.93 in x 17.69 in = 600.18 in2 x 2 = 1200.36 in2

Top:
- Length x Width = 33.93 in x 15.81 in = 536.10 in2

Bottom:
- Length x Width = 33.93 in x 15.81 in = 536.10 in2

Now, add all the individual areas together:
560.12 in2 (front and back) + 1200.36 in2 (left and right) + 536.10 in2 (top) + 536.10 in2 (bottom) = 2832.68 in2

Therefore, the surface area of the tank without a top cover is 2832.68 in2. Rounded to the nearest hundredth, the answer is 2832.67 in2.

So, the correct answer is:
2,832.67 in2