danni jo is resting on a rectangular box the area of front face of box is half .the area of top face is 1.5 times the area of side face.what exactly the area of side face if 24 is the volume of this
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danni jo is resting on a rectangular box the area of front face of box is half .the area of top face is 1.5 times the area of side face.what exactly the area of side face if 24 is the volume of this
Answers
Answered by
25
THE AREA OF FACES ARE 3*2*4
Answered by
7
Answer:
8
Step-by-step explanation:
Suppose, the height of the front face is a and the length is b; again, say the width of the area of the top face is c.
Thus, the area of the front face = ab
and
the area of the top face = bc.
Thus,
ab = bc/2
=> a = c/2
=> c=2a
Again,
ab = 1.5ca
=> b = 3a/2
Given that the volume of the box = abc = 24
a* (3a/2) * (2a) = 24
=> a = 2
Thus, the area of the side face of the box = ac = a*(2a) = 2*a*a = 2*2*2=8.
Answer: The area of the side face of the box is 8 square units.
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