Special body

Above each wall of a cube with an edge a = 30 cm, a regular quadrilateral pyramid with a height of 15 cm is constructed. Find the volume of the resulting body.

Correct result:

V =  54000 cm3

Solution:

a=30 cm h=15 cm  S1=a2=302=900 cm2 n=6  V1=a3=303=27000 cm3 V2=13 S1 h=13 900 15=4500 cm3  V=V1+n V2=27000+6 4500=54000 cm3



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