Question

Dormoy De unieveMaria has a jewelry box and wants to increase its size. She finds one with four times the length, width and height.How many times bigger will the volume of the new box be?6416124.

Answer 1

let lenght of box is:

$l$

width of the box is:

$b$

height of the box is:

$h$

so the volume of the box is:

$\begin{gathered} \text{volume}=\text{length}\times width\times height \\ \text{volume}=l\times b\times h \end{gathered}$

after increasing the length, width and height in four time then:

the new length is:

$4l$

the new width is:

$4b$

the new height is:

$4h$

the increasing box volume is:

$\begin{gathered} \text{new volume =}4l\times4b\times4h\text{ } \\ =64l\times b\times h \end{gathered}$

the new volume is 64 times bigger.