mishcacross21
18.08.2020 •
Mathematics
A prism and two nets are shown below:
3 in
Sin.
94 in
4 in
Prism
Ah
Ab
Net A
Net
Part A: Which is the correct net for the prism? Explain your answer. (2 points)
Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)
Part C: What is the surface area of the prism? Show your work. (4 points)
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Ответ:
Answer/Step-by-step explanation:
Part A: Net A is the correct net. If we decide to fold the net, we'd get the shape of the prism. Folding back net B won't give us the shape of the prism because of the position and arrangement of the right triangular bases.
Part B:
AB = 3in
BC = 5 in
CD = 9.4 in
Part C: surface area of the prism can be calculated by calculating the area of each part of the net, and summing them together as follows,
Area of the 2 triangular bases = 2(½*base*height of triangle) = 2(½*4*3) = 2*2*3 = 12 in²
Area of the three rectangles =
Surface area of prism = 12 + 112.8 = 124.8 in²
Ответ: