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

it's d.

step-by-step explanation:

because: -1(4x + 1y) +2 (1x-3y) distribute each number into the parenthesis.

then you would get: -4x - 1y + 2x -6y combine like terms

and get: 2x -7y

hope my answer has you if not then i'm sorry.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: