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 2,832.67 in2 2,832.67 in squared 9,489.51 in2 9,489.51 in squared 2,296.23 in2 2,296.23 in squared 1,416.33 in2
To find the surface area of the tank, we first need to find the area of each of the six faces of the tank.
The tank has 2 long sides:
Area of one long side = length * height = 33.93 inches * 17.69 inches = 599.34 in²
Total area of two long sides = 2 * 599.34 in² = 1198.68 in²
The tank has 2 short sides:
Area of one short side = width * height = 15.81 inches * 17.69 inches = 279.91 in²
Total area of two short sides = 2 * 279.91 in² = 559.82 in²
The tank has a top:
Area of the top = length * width = 33.93 inches * 15.81 inches = 536.28 in²
Now, add up the areas of all the faces to find the total surface area of the tank:
Total surface area = 1198.68 in² + 559.82 in² + 536.28 in² = 2294.78 in²
Therefore, the surface area of the turtle's tank without a top cover is 2294.78 in². Rounded to the nearest hundredth, the answer is 2294.78 in².
The closest answer choice is 2,296.23 in².