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

1,416.33 in2
1,416.33 in squared

2,296.23 in2
2,296.23 in squared

9,489.51 in2

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To find the surface area of the turtle's tank without the top cover, we need to find the surface area of each face without the top cover and then add them up.

The tank has 6 faces:
Front: 33.93 in x 17.69 in = 600.94 in²
Back: 33.93 in x 17.69 in = 600.94 in²
Left side: 15.81 in x 17.69 in = 279.92 in²
Right side: 15.81 in x 17.69 in = 279.92 in²
Bottom: 33.93 in x 15.81 in = 536.10 in²

Now, add up the surface areas of each face:
600.94 in² + 600.94 in² + 279.92 in² + 279.92 in² + 536.10 in² = 2,297.82 in²

Therefore, the surface area of the turtle's tank without the top cover is approximately 2,297.82 in². Rounded to the nearest hundredth, the answer is 2,297.82 in².

So the closest answer choice is:
2,296.23 in²

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