Solve the total surface area 11.5cm 13.7cm 6.2cm , 7.5cm 7.5cm , 3cm 4cm
To find the total surface area of a shape, we need to find the sum of the areas of all its individual surfaces.
For the first shape with dimensions 11.5cm x 13.7cm x 6.2cm, the total surface area is calculated as follows:
Total Surface Area = 2lw + 2lh + 2wh
Total Surface Area = 2(11.5*13.7) + 2(11.5*6.2) + 2(13.7*6.2)
Total Surface Area = 2(157.55) + 2(71.3) + 2(84.94)
Total Surface Area = 315.1 + 142.6 + 169.88
Total Surface Area = 627.58 cm²
For the second shape with dimensions 7.5cm x 7.5cm x 3cm, the total surface area is calculated as follows:
Total Surface Area = 2lw + 2lh + 2wh
Total Surface Area = 2(7.5*7.5) + 2(7.5*3) + 2(7.5*3)
Total Surface Area = 2(56.25) + 2(22.5) + 2(22.5)
Total Surface Area = 112.5 + 45 + 45
Total Surface Area = 202.5 cm²
For the third shape with dimensions 3cm x 4cm x 5cm, the total surface area is calculated as follows:
Total Surface Area = 2lw + 2lh + 2wh
Total Surface Area = 2(3*4) + 2(3*5) + 2(4*5)
Total Surface Area = 2(12) + 2(15) + 2(20)
Total Surface Area = 24 + 30 + 40
Total Surface Area = 94 cm²
Therefore, the total surface area for the three given shapes are as follows:
- The first shape: 627.58 cm²
- The second shape: 202.5 cm²
- The third shape: 94 cm².