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.

B

The new volume is 4 times the original volume

C

The new volume is 8 times the original volume

D

The new volume is 6 times the original volume

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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