Right rectangular prisms and pyramids units unit 8 lesson 9
Unit 8 Lesson 9 is focused on right rectangular prisms and pyramids.
In this lesson, you will learn about the properties and characteristics of right rectangular prisms and pyramids, and how to calculate their volume and surface area.
A right rectangular prism is a three-dimensional shape that has six rectangular faces. The opposite faces of the prism are congruent and parallel, and the angles between adjacent faces are all right angles.
To calculate the volume of a right rectangular prism, you multiply the length, width, and height of the prism. The formula for volume is V = lwh, where V represents volume, l represents length, w represents width, and h represents height.
The surface area of a right rectangular prism can be found by adding the areas of all the individual faces. The formula for surface area is SA = 2lw + 2lh + 2wh, where SA represents surface area, l represents length, w represents width, and h represents height.
A right pyramid, on the other hand, is a three-dimensional shape that has one polygonal base and triangular faces that meet at a common vertex. The base of a right pyramid can be any polygon, but for simplicity, the lesson focuses on right rectangular pyramids, which have a rectangular base.
To calculate the volume of a right rectangular pyramid, you multiply the area of the base by the height of the pyramid and divide by 3. The formula for volume is V = (lwh)/3, where V represents volume, l represents length, w represents width, and h represents height.
To find the surface area of a right rectangular pyramid, you need to calculate the area of the base and the areas of the triangular faces. The formula for surface area is SA = lw + 2lw + 2lh + 2wh, where SA represents surface area, l represents length, w represents width, and h represents height.
During this lesson, you will likely work on solving problems and applying these formulas to find the volume and surface area of different right rectangular prisms and pyramids.