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
2,832.67 in2
2,832.67 in squared
1,416.33 in2
1,416.33 in squared
9,489.51 in2
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