To find the total surface area of the sawhorse, we first need to calculate the surface area of each of its five sides and then add them together.
1. Top surface area:
The top surface is a rectangle with dimensions 27 inches by 19 inches.
Area = length x width
Area = 27 x 19
Area = 513 square inches
2. Bottom surface area:
The bottom surface is the same as the top surface.
Area = 513 square inches
3. Two side surface areas:
The two longer sides are rectangles with dimensions 39 inches by 27 inches.
Area = length x width
Area = 39 x 27
Area = 1053 square inches (for both sides)
4. Two end surface areas:
The two end surfaces are rectangles with dimensions 39 inches by 19 inches.
Area = length x width
Area = 39 x 19
Area = 741 square inches (for both ends)
Total surface area = 513 + 513 + 1053 + 1053 + 741 = 3873 square inches
Therefore, the total surface area of the sawhorse is 3873 square inches.
Kyms sawhorses 39 inches tall 27 inches long and 19 inches wide it’s diagonal measurement or the hypotenuse is 14 inches. What is total surface area round your answer to the nearest hundredth
5 answers
Are you sure?
I apologize for the mistake in my calculations. Let's correct it.
Given:
Height (h) = 39 inches
Length (l) = 27 inches
Width (w) = 19 inches
Diagonal (d) = 14 inches
We can use the Pythagorean theorem to find the length of the diagonal surface:
d^2 = l^2 + w^2
14^2 = 27^2 + 19^2
196 = 729 + 361
196 = 1090
d ≈ √196
d ≈ 14.0 inches
Now, the total surface area of the sawhorse is calculated as follows:
1. Top and bottom surfaces:
2lw = 2(27)(19) = 1026 square inches
2. Two longer sides:
2lh = 2(39)(27) = 2106 square inches
3. Two end surfaces:
2wh = 2(19)(39) = 1482 square inches
Total surface area = 1026 + 2106 + 1482 = 4614 square inches
Therefore, the total surface area of the sawhorse is 4614 square inches. Thank you for bringing it to my attention, and I appreciate your understanding.
Given:
Height (h) = 39 inches
Length (l) = 27 inches
Width (w) = 19 inches
Diagonal (d) = 14 inches
We can use the Pythagorean theorem to find the length of the diagonal surface:
d^2 = l^2 + w^2
14^2 = 27^2 + 19^2
196 = 729 + 361
196 = 1090
d ≈ √196
d ≈ 14.0 inches
Now, the total surface area of the sawhorse is calculated as follows:
1. Top and bottom surfaces:
2lw = 2(27)(19) = 1026 square inches
2. Two longer sides:
2lh = 2(39)(27) = 2106 square inches
3. Two end surfaces:
2wh = 2(19)(39) = 1482 square inches
Total surface area = 1026 + 2106 + 1482 = 4614 square inches
Therefore, the total surface area of the sawhorse is 4614 square inches. Thank you for bringing it to my attention, and I appreciate your understanding.
What’s the correct answer???
The correct total surface area of the sawhorse is 4614 square inches. Thank you for your patience, and I apologize for the error in the previous response.