Calculate 23411

The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism.

Correct answer:

V =  18720 cm3

Step-by-step explanation:

u=20 cm a=26 cm  s=2a+a+u=226+26+20=36 cm  S1=s (sa) (sa) (su)=36 (3626) (3626) (3620)=240 cm2 S=2 S1=2 240=480 cm2  a:v = 2:3  v=23 a=23 26=23 26=278=39 cm  V=S v=480 39=18720 cm3

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