This composite figure is made of two identical pyramids attached at their bases. each pyramid has a height of 2 units which expression represents the volume, in cubic units, of the composite figure?

answer: the volume of the composite figure made of two identical pyramids attached at their bases is:

third option 2 [ (1/3)(5)(0.25)(2) ]

solution:

volume of the composite figure: v=?

the composite figure is made of two identical pyramids attached at their bases, then:

v=2 vp

volume of each pyramid: vp

vp=(1/3) ab hp

area of the base of the pyramid: ab

height of the pyramid: hp=2

base of each pyramid is a rectangle with dimensions b=5, h=0.25

ab=bh→ab=(5)(0.25)

replacing in the formula of vp:

vp=(1/3)     ab       hp

vp=(1/3) (5)(0.25) (2)

replacing in the formula of v:

v=2 vp

v=2 [ (1/3)(5)(0.25)(2) ]

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