Question

A cube and cuboid have same volum
dimensions of the cuboid are in the ratio
1:2 : 4. If the difference between the cost of
polishing the cube and cuboid at the rate of
then find their yolumes
D​

Answer 1

Cube and cuboid 12/34/65 cube meter 35

Answer 2

Answer:

Let each side of cube be  

′

a  

′

 m.

Ratio of sides of cuboid is 1:2:4.

Let the sides be  

′

x  

′

 m

Volume of cube= volume of cuboid

∴a  

3

=x×2x×4x=8x  

3

 

a  

3

=8x  

3

⇒a=2x

A/Q[6a  

2

−2(lb+lh+bh)]×5=80

{6×(2x)  

2

+2[2x  

2

+8x  

2

+4x  

2

]}×5=80

⇒[−24x  

2

+2(14x  

2

)]×5=80

⇒(−24x  

2

+28x  

2

)×5=80

⇒4x  

2

×5=80

⇒20x  

2

=80

⇒x  

2

=4

⇒x=2

∴a=2×2=4

∴ Volume of cube =(4)  

3

=64m  

3

 

sides of cuboid=x,2x,4x=2,4,8m

Volume of cuboid =2×4×8=64m  

3

Step-by-step explanation:

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