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VOLUME AND SURFACE AREA OF SOLIDS

When working with 3-D shapes we can find the volume of the shapes.  The volume is the capacity that the shape can hold.  It is measured in cubic units.  We can also find the surface area of the shape.  The surface area is the total area of all the faces on the shape.  Surface area is measure in square units.

To compute the volume of a rectangular prism, find the area of the base (length times width), and then multiply by the height to find the capacity of the prism in cubic units.

To compute the surface area of a rectangular prism, find the area of each of the faces, and then add them together to find the total number of square units.

To compute the volume of a cylinder, find the area of the circular base, and then multiply by the height to find the capacity of the cylinder in cubic units.

To compute the surface area of a cylinder, find the area of the two circular bases, and the area of the curved rectangular body, and then add them together to find the total number of square units.


Volume of a Rectangular Prism




Surface Area of a Rectangular Prism



Volume of Cylinders




Surface Area of a Cylinder






Below are additional educational resources and activities for this unit.
 
Click on the icon to find and practice topics for this unit.
 
Unit 25 Formulas Worksheet
 
Unit 25 Volume of Prisms and Cylinders Worksheet
 
Click here to watch the video on volume of prisms.
Unit 25 Define Activity
 
Click here to watch the video on volume of cylinders.
Unit 25 Define Activity