What is the total surface area of the composite figure
the first square is 10L, 8h, 6w, the second is 6L, 6h, 6w
To find the total surface area of the composite figure, we first need to calculate the surface area of each individual figure and then add them together.
Surface area of the first square:
Total surface area = 2lw + 2lh + 2wh
Total surface area = 2(10*6) + 2(10*8) + 2(8*6)
Total surface area = 2(60) + 2(80) + 2(48)
Total surface area = 120 + 160 + 96
Total surface area = 376
Surface area of the second square:
Total surface area = 2lw + 2lh + 2wh
Total surface area = 2(6*6) + 2(6*6) + 2(6*6)
Total surface area = 2(36) + 2(36) + 2(36)
Total surface area = 72 + 72 + 72
Total surface area = 216
Total surface area of the composite figure:
Total surface area = Surface area of first square + Surface area of second square
Total surface area = 376 + 216
Total surface area = 592
Therefore, the total surface area of the composite figure is 592.