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
1,416.33 in2
1,416.33 in squared
2,832.67 in2
To find the surface area of the turtle's tank, we need to calculate the area of each individual face and then sum them up.
The tank has six faces: the top, bottom, front, back, left, and right.
The top face is not included, so we will exclude it from our calculations.
To find the area of each face, we multiply the length by the width:
Front face area: 33.93 inches (length) x 17.69 inches (height) = 598.78 square inches
Back face area: 33.93 inches (length) x 17.69 inches (height) = 598.78 square inches
Left face area: 15.81 inches (width) x 17.69 inches (height) = 279.23 square inches
Right face area: 15.81 inches (width) x 17.69 inches (height) = 279.23 square inches
Bottom face area: 33.93 inches (length) x 15.81 inches (width) = 536.79 square inches
Now, let's sum up the areas of the faces:
Total surface area = Front face area + Back face area + Left face area + Right face area + Bottom face area
Total surface area = 598.78 square inches + 598.78 square inches + 279.23 square inches + 279.23 square inches + 536.79 square inches
Total surface area = 2296.81 square inches
Rounded to the nearest hundredth, the surface area of the turtle's tank (without the top cover) is 2296.23 square inches.
Therefore, the correct response is:
2,296.23 in2 (2,296.23 in squared)