Question

area of the adjacent faces is 2:3:4 of the rectangular block.if volume is 9000cm3.find the side.​

Answer 1

Answer:

15 cm

Step-by-step explanation:

(a*b)(b*c)(c*a)=2:3:4

A*B=2K

B*C=3K

C*A=4K

A*A*B*B*C*C=2*3*4*K^3

A^2*B^2C^2=24K^3

VOLUME=ABC=9000

A^2B^2C^2=9000*9000=24K^3

K^3=27000000/8

K=300/2

K=150

A*B=300

B*C=450

C*A=600

A=ABC/BC

=9000/450

=20

B=ABC/CA

=9000/600

=15

C=ABC/AB

=30

THE ANSWER IS 15