Question

two box have the same volume 1 box has a base that is to inches to inches The Other box has a base that is 4 inches by 4 inches how many times as tall is the box has a smaller base​

Answer 1

Step-by-step explanation

The sides of the base of the first box are  

2  inches and 2  inches.

Let us assume its height to be x.

Then its volume of the first box is,  (2)(2)(x)=4x.

The sides of the base of the second box are  4  inches and  4

inches.

Let us assume its height to be  y.

Then its volume of the second box is,  (4)(4)(y)=16y.

The area of the base of the first box =  2×2=4.

The area of the base of the first box = 4×4=16.

So the second box has the larger base than the first box.

Since both the boxes have the same volume:4x=16y

Dividing both sides by 4,x=4

Therefore, the box with smaller base is  4 times taller than the box with the larger base.