Right Rectangular Prism & Pyramids unit 8 lesson 9
Unit 8 Lesson 9 focuses on the topics of right rectangular prisms and pyramids.
A right rectangular prism, also known as a rectangular cuboid, is a three-dimensional shape that has six rectangular faces. It has eight vertices and twelve edges. The diagonals of a right rectangular prism are the line segments that connect opposite vertices.
A pyramid is a three-dimensional shape with a polygonal base and triangular faces that meet at a single point called the apex. The height of a pyramid is the perpendicular distance between the base and the apex. The slant height is the distance from the apex to the edge of the base along one of the triangular faces.
In this lesson, you will learn about the formulas to calculate the volume and surface area of right rectangular prisms and pyramids. For a right rectangular prism, the volume can be calculated by multiplying the length, width, and height of the prism. The surface area of a right rectangular prism can be found by adding the areas of all six faces.
For a pyramid, the volume can be calculated by multiplying the area of the base and the height of the pyramid and then dividing by 3. The surface area of a pyramid can be found by adding the area of the base to the sum of the areas of all triangular faces.
You will also learn about the relationship between the volume and surface area of a right rectangular prism or pyramid. Increasing the dimensions of a shape will result in an increase in volume, while increasing the surface area.
Overall, this lesson focuses on understanding the properties, formulas, and relationships of right rectangular prisms and pyramids.