Question

A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 25% . By what percentage does the volume of the box increase from the regular box to the value box? Round your answer to the nearest percent.

Answer 1

9514 1404 393

Answer:

95%

Explanation:

The old volume is ...

V = LWH

The new volume is ...

V' = (1.25L)(1.25W)(1.25H) = 1.25³·LWH = 1.25³·V

V' ≈ 1.953·V = (1 +95.3%)·V

The volume of the box increases by about 95% from the regular box.