A prism and two nets are shown below: 3 in. 5 in. 7.2 in. 4 in. Prism B В B A с А D D Net A Net B Part A: Which is the correct n
et 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)
1 answer:
9514 1404 393
Answer:
- net A is correct
- surface area is 98.4 square inches
Step-by-step explanation:
<u>Part A</u>:
The two right-angle corners of the triangular bases are at either end of the same edge. This is only shown correctly in Net A.
__
<u>Part B</u>:
See the attached annotated diagram. Dimensions are in inches.
__
<u>Part C</u>:
The total surface area is the sum of the three central rectangles of the net and the two triangles. As shown in the attached, the two triangles can be considered as one rectangle of dimensions 3 in by 4 in.
The total area is ...
Surface area = base area + face area
= (3 in)(4 in) + (3 + 4 + 5 in)(7.2 in) = 12 in² +86.4 in²
Surface area = 98.4 in²
You might be interested in