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
9,489.51 in2
9,489.51 in squared
2,296.23 in2
2,296.23 in squared
2,832.67 in2
2,832.67 in squared
1,416.33 in2
To find the surface area of the turtle's tank without the top cover, we need to find the area of each of the five sides of the tank.
Front and back sides: 33.93 inches long by 17.69 inches tall
Front and back surface area = 33.93 inches * 17.69 inches * 2 = 1,197.40 in²
Left and right sides: 15.81 inches wide by 17.69 inches tall
Left and right surface area = 15.81 inches * 17.69 inches * 2 = 559.92 in²
Bottom side: 33.93 inches long by 15.81 inches wide
Bottom surface area = 33.93 inches * 15.81 inches = 536.18 in²
Now, add up the surface areas of all the sides to find the total surface area:
1,197.40 in² + 559.92 in² + 536.18 in² = 2,293.50 in²
So, the surface area of the turtle's tank without the top cover is approximately 2,293.50 in², which rounded to the nearest hundredth is 2,293.50 in².
Therefore, the closest answer provided is:
2,296.23 in²