Question

PLEASE SOMEONE
if each side of a rectangular paralleopiped is multipled by 3 find ratio of T.S.A of original parallelopiped and transformedparalleopiped​

Answer 1

Answer:

Step-by-step explanation:

Length: Breadth: Height::6:3:1

Let the height of the parallelopiped be x.

Thus Length and Breadth are6x and 3x.

Surface area of parallelopiped is 2$$(LB+LH+HB)=2(6x×3x+6x×x+3x×x)=54x^2.$$

Surface area of cube is 6h  

2

 

Thus 6h  

2

=54x  

2

.

h  

2

=9x  

2

 

h=3x

Now ratio of volume

volume of parallelopiped

volume of cube

​  

 =  

LBH

h  

3

 

​  

 

6x×3x×1x

h  

3

 

​  

=  

18x  

3

 

(3x)  

3

 

​  

 =  

18x  

3

 

27x  

3

 

​  

 =  

2

3

​