Question
Jim’s house is 39 inches tall 27 incjes long and 19 inches long it’s Diagonal measurement or the hypotenuse is 40.14 what is its total surface are
Answers
GPT 3.5
To find the total surface area of Jim's house, we need to calculate the area of each of its six faces (top, bottom, front, back, left side, right side) and then add them all up.
1. Top and bottom face:
Area = length x width
Area = 27 x 19 = 513 square inches (both the top and bottom face are the same size)
Total for top and bottom face = 2 x 513 = 1026 square inches
2. Front and back faces:
Area = height x length
Area = 39 x 27 = 1053 square inches (both the front and back face are the same size)
Total for front and back face = 2 x 1053 = 2106 square inches
3. Left and right side faces:
Area = height x width
Area = 39 x 19 = 741 square inches (both the left and right side face are the same size)
Total for left and right side face = 2 x 741 = 1482 square inches
Adding up the total surface area of all six faces:
Total surface area = 1026 + 2106 + 1482 = 4614 square inches
Therefore, the total surface area of Jim's house is 4614 square inches.
1. Top and bottom face:
Area = length x width
Area = 27 x 19 = 513 square inches (both the top and bottom face are the same size)
Total for top and bottom face = 2 x 513 = 1026 square inches
2. Front and back faces:
Area = height x length
Area = 39 x 27 = 1053 square inches (both the front and back face are the same size)
Total for front and back face = 2 x 1053 = 2106 square inches
3. Left and right side faces:
Area = height x width
Area = 39 x 19 = 741 square inches (both the left and right side face are the same size)
Total for left and right side face = 2 x 741 = 1482 square inches
Adding up the total surface area of all six faces:
Total surface area = 1026 + 2106 + 1482 = 4614 square inches
Therefore, the total surface area of Jim's house is 4614 square inches.