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)

Question

Responses

2,296.23 in2
2,296.23 in squared

2,832.67 in2
2,832.67 in squared

9,489.51 in2
9,489.51 in squared

1,416.33 in2

Answer 1

To find the surface area of the turtle's tank, we need to find the area of each of the six sides of the tank and then add them together.

First, calculate the area of the bottom of the tank:
Length x Width = 33.93 in x 15.81 in = 536.68 in²

Now, calculate the area of the front and back sides of the tank (which are the same):
2 x Length x Height = 2 x 33.93 in x 17.69 in = 1,197.24 in²

Next, calculate the area of the two side walls of the tank (which are the same):
2 x Width x Height = 2 x 15.81 in x 17.69 in = 559.95 in²

Add up the areas of all six sides:
536.68 in² (bottom) + 1,197.24 in² (front and back) + 559.95 in² (sides) = 2,293.87 in²

Therefore, the surface area of the turtle's tank without a top cover is 2,293.87 in², rounded to the nearest hundredth. The closest option provided is:

2,296.23 in²