a cuboid container has the capacity to hold 50 small boxes, if all the dimensiond of the container are doubled, then the number of small boxes of the same size that the container can hold is?
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Answered by
50
let the length, breadth and height of the container be x, y and z cm respectively.
So the volume of the container will be xyz cm^3
So xyz cm^3 = 50 boxes
If the dimensions of the container are doubled the the length, breadth and height of the container will be 2x, 2y and 2z
So the volume will change to 8xyz cm^3
Since xyz cm^3 can contain 50 boxes therefore 8xyz cm^3 can contain 50*8 boxes=400 boxes
So the volume of the container will be xyz cm^3
So xyz cm^3 = 50 boxes
If the dimensions of the container are doubled the the length, breadth and height of the container will be 2x, 2y and 2z
So the volume will change to 8xyz cm^3
Since xyz cm^3 can contain 50 boxes therefore 8xyz cm^3 can contain 50*8 boxes=400 boxes
Answered by
13
hi mate!
it will hold 400 boxes then.
hope my answer helps you
mark me brainliest !
please
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