Which solid has one base that is a rectangle and four lateral surfaces that are triangles?
A. triangular pyramid
B. cone
C. rectangular prism
D. rectangular pyramid
https://www.google.com/imgres?imgurl=http://cdn.history.com/sites/2/2013/12/egyptian-pyramids-hero-AB.jpeg&imgrefurl=http://www.history.com/topics/ancient-history/the-egyptian-pyramids&h=250&w=334&tbnid=kjj9VSqX2ZedbM:&tbnh=150&tbnw=200&docid=LwCKxkWZ2No5hM&itg=1&usg=__JRZEipR64LsqvtyjmMxCNTUzmXY=
Which of the following are considered skew lines?
A. AB and AE
B. AB and CE
C. BC and CE
D. BC and DE
the two which do not intersect
its rectangular pyramid
To determine the solid that has one base that is a rectangle and four lateral surfaces that are triangles, let's examine the options:
A. Triangular Pyramid: A triangular pyramid has a base that is a triangle, not a rectangle. Therefore, option A is not the correct answer.
B. Cone: A cone has one circular base, not a rectangle. Thus, option B is not the correct answer.
C. Rectangular Prism: A rectangular prism has two bases that are rectangles, but it does not have lateral surfaces that are triangles. Therefore, option C is not the correct answer.
D. Rectangular Pyramid: A rectangular pyramid has one base that is a rectangle and four lateral surfaces that are triangles. Thus, option D is the correct answer.
Therefore, the solid that matches the description is a Rectangular Pyramid (option D).