Find the surface area and volume of a rectangular pyramid.
Step 1: Definition of rectangular pyramid:
Pyramids are three-dimensional structures having triangle faces and have an encompassing polygon shape at their base.
A rectangular pyramid is simply a pyramid with a base that is a rectangle.
The volume of the rectangular pyramid
The total surface area of the rectangular pyramid
Length of the base
Width of the base
Height of the pyramid
Slant height of the pyramid
Step 2: Solve for surface area of pyramid
The Lateral surface area of a rectangular pyramid is
Perimeter of base Slant height
We know that perimeter of rectangle
Slant height
Area of base
Step 3: Solve for volume of the pyramid
The volume of the rectangular pyramid Area of base Height of the pyramid
Hence, the surface area and volume of the rectangular pyramid are and respectively