VolumeAdditionPostulateThe volumeof a solid is the sum of the volumesof all of its
non-overlappingparts.A right rectangularprismis a prismwith rectangularbasesand the anglebetweeneachbaseand its rectan-
gularlateralsidesis also a right angle.You can recognizea right rectangularprismby its “box”shape.
You can use the VolumeAdditionPostulateto find the volumeof a right rectangularprismby countingboxes.
The box belowmeasures2 unitsin height,4 unitsin width,and 3 unitsin depth.Eachlayerhas 2 x 4 cubes
or 8 cubes.
Together, you get threegroupsof so the total volumeis:
The volumeis 24 cubicunits.
This samepatternholdsfor any right rectangularprism.Volumeis givingby the formula:
Example 11
Find the volumeof this box.Use the formulafor volumeof a right rectangularprism.