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Question

A rectangular block has length= 6 units, width =4 units and height= 9 units. If the length, width and height are doubled, what happens to the volume ? 



A

The new volume is double the original volume.

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B

The new volume is 4 times the original volume

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C

The new volume is 8 times the original volume

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D

The new volume is 6 times the original volume

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Solution

The correct option is C

The new volume is 8 times the original volume


Given : length= 6 units, width = 4 units and height= 9 units

 Let us find the volume for these dimensions first.

 Volume (V1)=length×width×height 

 Volume (V1)=6×4×9=216 cubic units 

 The dimensions we get after doubling are as follows :

 length= 12 units, width =8 units and height= 18 units

 Let us find the volume for these dimensions.

 Volume (V2)=length×width×height 

 Volume (V2)=12×8×18=1728 cubic units 

 V2V1 =  1728216 = 8

 We see that V2=8×V1

So, the new volume is 8 times the original volume 


Mathematics

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