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

2,832.67 in2

1,416.33 in2

9,489.51 in2

1 answer

To find the surface area of the turtle's tank, we need to find the area of each of the five sides (since there is no top cover).

First, let's find the area of the bottom of the tank:
Area of bottom = length * width
Area of bottom = 33.93 in * 15.81 in
Area of bottom = 535.43 in²

Next, let's find the area of the four sides of the tank:
Front and back = length * height
Front and back = 33.93 in * 17.69 in
Front and back = 600.85 in²

Left and right = width * height
Left and right = 15.81 in * 17.69 in
Left and right = 279.94 in²

Now, let's add up the areas of all five sides to find the total surface area:
535.43 in² (bottom) + 600.85 in² (front and back) + 600.85 in² (front and back) + 279.94 in² (left and right) + 279.94 in² (left and right) = 2,296.23 in²

Therefore, the surface area of the tank without a top cover is 2,296.23 in².

The correct answer is:
2,296.23 in2