Question

A cuboid container has the capacity to hold 50 small boxes. If all the dimensions of the container are doubled, then it can hold (small boxes of same size)

Answer 1

Answer:

8 time of the 50 small boxes

=8×50

=400

Answer 2

A cuboid container has the capacity to hold 50 small boxes. If all the dimensions of the container are doubled, then it can hold 400 boxes.

Given,

Initial capacity = 50

To find,

Total number of boxes after dimensions are doubled.

Solution,

Let the dimensions of cuboid be = length × breadth × height = l × b × h.

After dimensions are doubled = 2l × 2b × 2h.

Initial Volume = lbh

Final Volume = 8lbh

Since, the final volume is eight times the initial the total number of boxes to fit in final container would be (8)(50) = 400.

Therefore, if all the dimensions of the container are doubled, then it can hold 400 boxes.