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A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section? rectangular pyramid rectangular prism right pentagonal prism cube

A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section?\newlinerectangular pyramid\newlinerectangular prism\newlineright pentagonal prism\newlinecube

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Q. A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section?\newlinerectangular pyramid\newlinerectangular prism\newlineright pentagonal prism\newlinecube
  1. Identify Characteristics: Identify the characteristics of the solids given in the options.\newlineA rectangular pyramid has a base that is a rectangle and triangular faces that meet at a common vertex.
  2. Cross Section Analysis: Consider the cross section of a rectangular pyramid when cut by a plane perpendicular to its base. The cross section would be a triangle because the plane would intersect the triangular faces.
  3. Rectangular Prism: Analyze the characteristics of a rectangular prism.\newlineA rectangular prism has 66 faces, all of which are rectangles.
  4. Cross Section Analysis: Consider the cross section of a rectangular prism when cut by a plane perpendicular to its base. The cross section would be a rectangle, not a triangle.
  5. Right Pentagonal Prism: Analyze the characteristics of a right pentagonal prism.\newlineA right pentagonal prism has a pentagonal base and rectangular faces.
  6. Cross Section Analysis: Consider the cross section of a right pentagonal prism when cut by a plane perpendicular to its base. The cross section would be a pentagon, not a triangle.
  7. Cube: Analyze the characteristics of a cube.\newlineA cube has 66 faces, all of which are squares.
  8. Cross Section Analysis: Consider the cross section of a cube when cut by a plane perpendicular to its base. The cross section would be a square, not a triangle.

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