To find the surface area of the turtle's tank without the top cover, we need to find the area of each of the 5 faces (front, back, top, bottom, and two sides).
Front and back faces:
Length = 33.93 inches
Height = 17.69 inches
Area = 2 * (33.93 in * 17.69 in) = 1195.91 in²
Top and bottom faces:
Length = 33.93 inches
Width = 15.81 inches
Area = 2 * (33.93 in * 15.81 in) = 1072.65 in²
Side faces (two of them):
Height = 17.69 inches
Width = 15.81 inches
Area = 2 * (17.69 in * 15.81 in) = 559.22 in²
Total surface area = 1195.91 + 1072.65 + 559.22 = 2827.78 in²
Therefore, the surface area of the turtle's tank without the top cover is approximately 2827.78 in². Rounded to the nearest hundredth, the answer is 2,827.78 in².
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
2,296.23 in2
2,296.23 in squared
9,489.51 in2
9,489.51 in squared
1,416.33 in2
1,416.33 in squared
2,832.67 in2
3 answers
no
I apologize for the error in my previous response. Let's go through the calculation again.
Front and back faces:
Length = 33.93 inches
Height = 17.69 inches
Area = 2 * (33.93 in * 17.69 in) = 1197.64 in²
Top and bottom faces:
Length = 33.93 inches
Width = 15.81 inches
Area = 2 * (33.93 in * 15.81 in) = 1071.15 in²
Side faces (two of them):
Height = 17.69 inches
Width = 15.81 inches
Area = 2 * (17.69 in * 15.81 in) = 559.06 in²
Total surface area = 1197.64 + 1071.15 + 559.06 = 2827.85 in²
Therefore, the correct surface area of the turtle's tank without the top cover is approximately 2827.85 in². Rounded to the nearest hundredth, the answer is 2,827.85 in².
Front and back faces:
Length = 33.93 inches
Height = 17.69 inches
Area = 2 * (33.93 in * 17.69 in) = 1197.64 in²
Top and bottom faces:
Length = 33.93 inches
Width = 15.81 inches
Area = 2 * (33.93 in * 15.81 in) = 1071.15 in²
Side faces (two of them):
Height = 17.69 inches
Width = 15.81 inches
Area = 2 * (17.69 in * 15.81 in) = 559.06 in²
Total surface area = 1197.64 + 1071.15 + 559.06 = 2827.85 in²
Therefore, the correct surface area of the turtle's tank without the top cover is approximately 2827.85 in². Rounded to the nearest hundredth, the answer is 2,827.85 in².