A right trapezoidal prism has base dimensions of #40 cm and 56 cm# and a height of #30 cm#. Calculate the volume, surface area and the weight of the prism, knowing it is #120 cm# high and has a density of #2.5 gm/cm^3#?

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Answer 1 · 2016-11-03T03:59:03

Given

the lengths of two parallel sides of the trapezoidal base of the right prism are

#a=40cm and b=56cm#

And the height of trapezium #c=30#cm.

Hence area of trapezoidal base

#A=1/2(a+b)*c#

#=1/2(40+56)*30cm^2=1440cm^2#

Height of the prism #h=120cm#

So volume of the prism

#V=Axxh=1440xx120=172800cm^3#

The density of the prism
#d=2.5gcm^-3#

So mass of the prism

#M=Vxxd=172800cm^3xx2.5gcm^-3=432000g=432kg#