Pamela's parakeet is currently in a rectangular bird cage that has a length of 3 feet, a width of 2 feet, and a height of 3 feet. Since the parakeet has gotten larger, Pamela is looking to buy a new rectangular bird cage. She wants the new cage to have a volume that is 4 times the volume of the parakeet's current cage. If Pamela wants to keep the length of the new cage the same, how must the other dimensions change?

The volume of existing cage = length x widht x height = 3 x 2 x 3 = 18 cubic ft

Now she wants cage with volume four times of this cage

New Volume = V1 = 18 x 4 = 72 cubic ft

Keeping length same = 3 ft

Length x width x height = V1

3 x Width x height = 72

Width x height = 72 /3

Width x height = 24

Now multiple of 24 must be the width and height.

Taking width = 6 ft and height = 4 ft, we will get our answer

Proof:

Length x width x height = V1

3 x 6 x 4 = 72

t hope this

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