The composite figure is made up of two congruent rectangular pyramids joined at their bases. so the total volume of the composite figure is 60 unit^3.
The volume of one pyramid is defined as the product of one-third of the area of the base and the height.
The volume of a rectangular pyramid is V = (1/3) A h
where
A = the area of the rectangular base
h = the height
It is given that the composite figure is made up of two congruent rectangular pyramids joined at their bases.
The total volume of the composite figure is the sum of the volumes of the two rectangular pyramids.
So, the total volume of the composite figure
= 2 x 1/3 x area of the base x height.
The base is a rectangle of sides of 2 units and 7.5 units,
so. its area is 2 x 7.5units
= 15 units^2
The height of one pyramid is 6 units.
So, the total volume of the composite figure
= 2 x (1/3) x 15 unit^2 x 6 unit
= 60 unit^3.
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