A solid with one base cannot be which of the following?
A. A cone
B. A rectangle pyramid
C. A rectangle prism
D. A triangle pyramid
C. A rectangle prism.
A solid with one base can be a cone, a rectangle pyramid, or a triangle pyramid, but a rectangle prism has two bases.
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To determine the answer to this question, we need to understand the properties of each of the given options.
A. A cone: A cone is a three-dimensional shape with a circular base and a pointed top, called the apex. So, a solid with one circular base can be a cone.
B. A rectangular pyramid: A rectangular pyramid is a three-dimensional shape with a rectangular base and triangular faces that meet at a common point on top, called the apex. So, a solid with one rectangular base can be a rectangular pyramid.
C. A rectangular prism: A rectangular prism is a three-dimensional shape with six rectangular faces. It has two identical rectangular bases and four rectangular lateral faces. So, a solid with one rectangular base can indeed be a rectangular prism.
D. A triangular pyramid: A triangular pyramid is a three-dimensional shape with a triangular base and three triangular faces that meet at a common point on top, called the apex. So, a solid with one triangular base can be a triangular pyramid.
Based on these explanations, we can conclude that there is no option mentioned that a solid with one base cannot be. Therefore, the answer is none of the above options (D).