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)

Question

Responses

2,296.23 in2
2,296.23 in squared

2,832.67 in2
2,832.67 in squared

1,416.33 in2
1,416.33 in squared

9,489.51 in2

Answer 1

The surface area of the tank without the top cover can be calculated by finding the area of each side and adding them together.

The tank has 6 sides:
- Two long sides: 33.93 in x 17.69 in = 600.86 in² (each)
- Two short sides: 15.81 in x 17.69 in = 280.10 in² (each)
- Top side: 33.93 in x 15.81 in = 536.49 in²
- Bottom side: 33.93 in x 15.81 in = 536.49 in²

Adding all the sides together:
2(600.86) + 2(280.10) + 536.49 + 536.49 = 1201.72 + 560.20 + 536.49 + 536.49 = 2834.90 in²

Therefore, the surface area of the turtle's tank without a top cover is approximately 2,834.67 in².

The correct answer is:
2,834.67 in²