Surface area, composites 3-D figures practice Use the image to answer the question which is the total surface area of this figure. It shows 16 MM Six MM 6 MM eight MM six MM two MM 10 MM

Answer 1

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

1. There are 8 faces in total, consisting of:
- 4 rectangular faces measuring 16mm x 6mm = 96mm^2 each
- 2 rectangular faces measuring 6mm x 6mm = 36mm^2 each
- 1 rectangular face measuring 8mm x 6mm = 48mm^2
- 1 rectangular face measuring 10mm x 6mm = 60mm^2

2. Add up the area of all the faces:
96mm^2 x 4 = 384mm^2
36mm^2 x 2 = 72mm^2
48mm^2 + 60mm^2 = 108mm^2

3. Total surface area = 384mm^2 + 72mm^2 + 108mm^2
= 564mm^2

Therefore, the total surface area of the figure is 564mm^2.