Question

question 4 of 42
which two - dimensional shapes are needed to build the hexagonal prism shown below?

a. 1 pentagon and 5 triangles
b. 1 pentagon and 5 rectangles
c. 1 pentagon and 6 rectangles
d. 1 pentagon and 6 rectangles

Explanation:

A pentagonal prism has 2 pentagonal bases (but here building the prism, the lateral faces: a pentagon has 5 sides, so 5 rectangles as lateral faces, plus 1 pentagon base? Wait, no—wait, the options: let's recall a pentagonal prism's net: 1 pentagon (top) + 1 pentagon (bottom)? No, wait the question is "build the pentagonal prism"—wait, maybe the diagram shows a pentagonal prism's net? Wait no, the options: A is pentagon and 5 triangles (no, prism has rectangles), B: 1 pentagon and 5 rectangles? Wait, no, pentagonal prism has 2 pentagons (bases) and 5 rectangles (lateral faces). But the options: wait the options are A:1 pentagon and 5 triangles, B:1 pentagon and 5 rectangles, C:1 pentagon and 6 rectangles, D:1 pentagon and 6 rectangles? Wait no, maybe the diagram is a pentagonal pyramid? Wait the original question says "pentagonal prism"? Wait no, maybe a typo, maybe pentagonal pyramid? Wait no, the options: if it's a pentagonal prism, the net has 2 pentagons and 5 rectangles. But the options have "1 pentagon"—wait maybe the question is about the lateral faces and one base? Wait no, maybe the diagram is a pentagonal prism with one pentagon base and 5 rectangular lateral faces. Wait the options: B is 1 pentagon and 5 rectangles. Wait, let's check: a pentagonal prism has 2 pentagonal bases (top and bottom) and 5 rectangular lateral faces. But if the question is "build the pentagonal prism" (maybe the net includes one pentagon and 5 rectangles? No, usually two pentagons. Wait maybe the diagram is a pentagonal pyramid? No, pyramid would have triangles. Wait the options: A has triangles (pyramid), B has rectangles (prism). So if it's a pentagonal prism, the lateral faces are 5 rectangles, and one pentagon (maybe the base, and the other base is implied? Or maybe the diagram shows a net with 1 pentagon and 5 rectangles. So the correct option is B? Wait no, wait the options: B is "1 pentagon and 5 rectangles", A is triangles (pyramid). So if the shape is a pentagonal prism, the two - dimensional shapes needed are 2 pentagons and 5 rectangles, but the options have "1 pentagon"—maybe a mistake, but among the options, B is 1 pentagon and 5 rectangles, which is the closest for a prism (maybe the other pentagon is not considered or the diagram shows one base). So the correct answer is B.

Answer:

B. 1 pentagon and 5 rectangles