6.2 cm
11.5 cm
7.5 cm
7.5 cm
3 cm
4 cm
13.7 cm
Solve for the total surface area of the figure
377.8 cm2
53.4 cm2
353.8 cm2
365.8 cm2
To find the total surface area of the figure, we need to sum up the areas of each of the individual faces.
Surface area of a rectangular prism = 2lw + 2lh + 2wh
First, let's calculate the areas of the individual faces:
Face 1: 6.2 cm x 11.5 cm = 71.3 cm^2
Face 2: 6.2 cm x 7.5 cm = 46.5 cm^2
Face 3: 11.5 cm x 7.5 cm = 86.25 cm^2
Face 4: 6.2 cm x 7.5 cm = 46.5 cm^2
Face 5: 11.5 cm x 3 cm = 34.5 cm^2
Face 6: 6.2 cm x 3 cm = 18.6 cm^2
Now, calculate the total surface area:
Total surface area = 2(71.3) + 2(46.5) + 2(86.25) + 2(46.5) + 2(34.5) + 2(18.6)
Total surface area = 142.6 + 93 + 172.5 + 93 + 69 + 37.2
Total surface area = 607.3 cm^2
Therefore, the total surface area of the figure is 607.3 cm^2.