Question
what is the total surface area of the figure
16 mm 10 mm 8 mm 6 mm 6 mm 6 mm 2 mm
16 mm 10 mm 8 mm 6 mm 6 mm 6 mm 2 mm
Answers
GPT 3.5
To find the total surface area of the figure, we need to calculate the surface area of each face and then add them all together.
The figure is made up of a rectangular prism (16 mm x 10 mm x 8 mm), a cube (6 mm x 6 mm x 6 mm), and a rectangular prism (8 mm x 6 mm x 2 mm).
Surface area of the rectangular prism = 2*(16*10 + 10*8 + 8*16) = 2*(160 + 80 + 128) = 2*(368) = 736 mm^2
Surface area of the cube = 6*(6*6) = 6*(36) = 216 mm^2
Surface area of the rectangular prism = 2*(8*6 + 6*2 + 8*2) = 2*(48 + 12 + 16) = 2*(76) = 152 mm^2
Total surface area = 736 + 216 + 152 = 1104 mm^2
Therefore, the total surface area of the figure is 1104 mm^2.
The figure is made up of a rectangular prism (16 mm x 10 mm x 8 mm), a cube (6 mm x 6 mm x 6 mm), and a rectangular prism (8 mm x 6 mm x 2 mm).
Surface area of the rectangular prism = 2*(16*10 + 10*8 + 8*16) = 2*(160 + 80 + 128) = 2*(368) = 736 mm^2
Surface area of the cube = 6*(6*6) = 6*(36) = 216 mm^2
Surface area of the rectangular prism = 2*(8*6 + 6*2 + 8*2) = 2*(48 + 12 + 16) = 2*(76) = 152 mm^2
Total surface area = 736 + 216 + 152 = 1104 mm^2
Therefore, the total surface area of the figure is 1104 mm^2.