Question

Apply the technique of using nets to find the surface to find the surface area of a turtle’s tank, which measures 33.93 inches long by 15.81 inches 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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the tank without the top cover, we need to find the area of each of the tank's six sides.

First, let's draw out the net of the tank:

Front and back sides: 33.93 inches long by 17.69 inches tall
Top and bottom sides: 33.93 inches long by 15.81 inches wide
Left and right sides: 15.81 inches wide by 17.69 inches tall

Now, calculate the area of each side:

Front and back sides: 33.93 * 17.69 = 600.2217 square inches (2 sides * 600.2217 = 1200.4434 square inches)
Top and bottom sides: 33.93 * 15.81 = 536.1333 square inches (2 sides * 536.1333 = 1072.2666 square inches)
Left and right sides: 15.81 * 17.69 = 279.9609 square inches (2 sides * 279.9609 = 559.9218 square inches)

Now, add the areas of all six sides together:

1200.4434 + 1072.2666 + 559.9218 = 2832.6318 square inches

Therefore, the surface area of the turtle's tank without the top cover is 2832.63 square inches.