Question

if the length of the container is half of a foot longer than it’s width what expression represents the height of the container

Answer 1

Answer:

The height of the container is $7x\ ft$

Step-by-step explanation:

Let

L ------> the length of the rectangular container

W ----> the width of the rectangular container

H ---> the height of the rectangular container

we know that

The volume of the rectangular container is

$V=LWH$ ------> equation A

we have

$W=x\ ft$

$L=(x+0.5)\ ft$

$V=7x^{3}+3.5x^{2}$

substitute the values in the equation A

$7x^{3}+3.5x^{2}=(x+0.5)(x)H$

Factor the term x in the left side

$(7x^{2}+3.5x)(x)=(x+0.5)(x)H$

Simplify

$(7x^{2}+3.5x)=(x+0.5)H$

Factor the term 7x in the left side

$(7x)(x+0.5)=(x+0.5)H$

Simplify

$(7x)=H$

Rewrite

$H=7x\ ft$