Quadrilateral 21523

Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm.

Correct answer:

V =  2422.6347 cm3
S =  1143 cm2

Step-by-step explanation:

a=18 cm b=15 cm s=9 cm  x=(ab)/2=(1815)/2=23=1.5 cm h=s2x2=921.528.8741 cm  S1=a2=182=324 cm2 S2=b2=152=225 cm2  V=h/3 (S1+S1 S2+S2)=8.8741/3 (324+324 225+225)=2422.6347 cm3
S3=(a+b) s/2=(18+15) 9/2=2297=148.5 cm2 S=S1+S2+4 S3=324+225+4 148.5=1143 cm2

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