#10
a)
yellow 2(4)(1) = 2 sides , length 4, width 1
red 2(3)(1) = 2 sides, length 3, width 1
light green 2(2)(1) = 2 sides, length 2, width 1
purple 2(1)(1)= 2 sides, length 1, width 1
brown 1(4)(1)= 1 side, length 4, width 1
black 1(4)(1)= 1 side , length 4, width 1
dark green 1(4)(1) = 1 side, length 4, width 1
grey 1(4)(1)= 1 side, length 4, width 1
Simplify
2(4)(1) +2(3)(1) +2(2)(1) +2(1)(1) +1(4)(1) +1(4)(1) +1(4)(1) +1(4)(1)
2(4) +2(3) +2(2) +2(1) +1(4) +1(4) +1(4) +1(4)
8+6+4+2+4+4+4+4
= 36 cm2
b)
front and back= 2(2)(5) length 2, width 5
top and bottom= 2(1)(5) length 1, width 5
two sides= 2(2)(1) length 2, width 1
Simplify
2(2)(5) + 2(1)(5) + 2(2)(1)
2(10) + 2(5) + 2(2)
20+10+4
= 34 cm2
The surface area of a rectangular prism is slightly different, because the cubes are placed differently.
I like the way you divided the object into parts to get the surface area. You explained it well, you look like you know what you're doing. Good job!
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