Question

a box has a length of 6x inches the width equals one third the length and the height equals half the length. if the volume equals 972 cubic inches, what does x equal will give 100 points and brainly

Answer 1

$\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}$

a box has a length of 6x inches

• l=6x

the width equals one third the length

• w=$\sf{\dfrac{1}{3}×6x }$

• w=2x

the height equals half the length.

• h=$\sf{\dfrac{1}{2}×6x }$

• h=3x

we know that,

Volume of a rectangle box=l×w×h

According to the question,

if the volume equals 972 cubic inches,

• l×w×h=volume

• 6x × 3x × 2x=972

• 36x^3=972 cubic unit

• x=972/36

• x=27

Therefore:-

The value of x is 27.

Answer 2

Answer:

x = 27

Step-by-step explanation:

Length = 6x

Width = 1/3(6x) = 2x

Height = 1/2(6x) = 3x

6x × 2x × 3x = 36

972/36x = 27

x = 27