Section D Section D Checkpoint

Problem 1

Select all nets that can be assembled into this triangular prism.

A
 

B
 

C
 

D
 

E
 

Show Solution
Solution
B, D, E
Show Sample Response
Sample Response
B, D, E

Problem 2

  1. Sketch a net for this square pyramid and label the known lengths.

  2. Find the surface area of the pyramid in square units. Show your reasoning.
Show Solution
Solution
  1. Sample response:

  2. 72 square units. Sample reasoning: The square base is 4⋅44 \boldcdot 4 or 16 square units. The area of each triangle is 12⋅4⋅7\frac{1}{2} \boldcdot 4 \boldcdot 7, which is 14 square units. There are 4 triangles, so the surface area is: 16+(4⋅14)16 + (4 \boldcdot 14), which is 16+5616 + 56 or 72.
Show Sample Response
Sample Response
  1. Sample response:

  2. 72 square units. Sample reasoning: The square base is 4⋅44 \boldcdot 4 or 16 square units. The area of each triangle is 12⋅4⋅7\frac{1}{2} \boldcdot 4 \boldcdot 7, which is 14 square units. There are 4 triangles, so the surface area is: 16+(4⋅14)16 + (4 \boldcdot 14), which is 16+5616 + 56 or 72.