Question

What is the total surface area of the composite figure

1 cube 6L, 10w, 8h, 2 cube 6L, 6h, 6w

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the total surface area of the composite figure, we need to find the surface area of each individual shape and then add them together.

1. Surface area of the first cube:
It has a length (L) of 6, width (W) of 10, and height (H) of 8.
Surface area = 2(LW + LH + WH)
Surface area = 2(6*10 + 6*8 + 10*8)
Surface area = 2(60 + 48 + 80)
Surface area = 2(188)
Surface area = 376 square units

2. Surface area of the 2 cubes:
Each cube has a length (L) of 6, height (H) of 6, and width (W) of 6.
Surface area of one cube = 2(LW + LH + WH)
Surface area of one cube = 2(6*6 + 6*6 + 6*6)
Surface area of one cube = 2(36 + 36 + 36)
Surface area of one cube = 2(108)
Surface area of one cube = 216 square units

Since there are 2 cubes, the total surface area for both cubes is 2 * 216 = 432 square units.

To find the total surface area of the composite figure, we need to add the surface area of the first cube and the total surface area for the 2 cubes:
Total surface area = 376 + 432
Total surface area = 808 square units

Therefore, the total surface area of the composite figure is 808 square units.