Which solid has two bases that are triangles and three lateral surfaces that are rectangles?
A. triangular pyramid
B. rectangular prism
C. triangular prism
D. rectangular pyramid
Well, which choices contain the word "triangle"
A pyramid comes to a point, what does a prism look like?
Wait, so you're saying that it wouldn't be B or D and that it depends on how the pyramid looks like, right?
The correct answer is C. triangular prism.
A triangular prism is a solid that has two bases that are triangles and three lateral surfaces that are rectangles. The two triangles are congruent and parallel to each other, and the three rectangles connect the corresponding edges of the triangles.
To determine the correct answer, let's break down each option and identify the shape described.
A. A triangular pyramid has a triangular base and triangular lateral faces.
B. A rectangular prism has rectangular bases and rectangular lateral faces.
C. A triangular prism has triangular bases and rectangular lateral faces.
D. A rectangular pyramid has a rectangular base and triangular lateral faces.
Given the description "Two bases that are triangles and three lateral surfaces that are rectangles," we can see that the correct answer is option C, a triangular prism, as it has triangular bases and rectangular lateral surfaces.