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

1 answer

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.