Question

Two boxes have the same volume. One box has a base that is 22 inches by 22 inches. The other box has a base that is 44 inches by 44 inches.

Answer 1

Answer:

4h₂

Step-by-step explanation:

Let the box with the 2 by 2  base be Box 1 and the one with 4 by base be Box 2:

Volume = Area of the base x height , then for each of our boxes:

Box 1:

V₁  = 2 x 2 x h₁  

V₁  = 4h₁  

Box 2:

V₂ = 4 x 4 x h₂  

V₂ = 16h₂

Now since the volumes are equal:

V₁= V₂  

4h₁ = 16h₂ => divide both sides by 4:

h₁ = 4h₂