6.2 cm

Question

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

Answer 1

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.