Question

Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 0.3 inches to 1.2 inches.

Answer 1

Answer:

Increases 64 times

Step-by-step explanation:

The volume of the box can be calculated using formula

$V=l\cdot w\cdot h,$

where

V = volume,

l = length,

w = width,

h = height

If the length was 0.3 inches, then the volume was

$V_1=0.3\cdot w\cdot h=0.3wh$

When the length became 1.2 inches, then all dimensions became $1.2 :0.3 =4$ times greater, then the volume was

$V_2=1.2\cdot (4w)\cdot (4h)=19.2wh$

The volume increases

$\dfrac{V_2}{V_1}=\dfrac{1.92wh}{0.3wh}=64$ times