Question

The volume of this rectangular prism is 72 in³. What is the missing measurement for c?

What is the length of the shipping carton?



Enter your answer in the box.

c = in

Answer 1

`\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }`

➣Given

• ➣shipping carton basically shape is rectangular prism type

• ➣its volume (shipping carton)=72in²
• ➣its height =3in
• ➣its width = 4in
• ➣ assumption :- length "c"

`\boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}`

`\rule{80mm}{2.5pt}`

★ Let's substitute values according to given info

`\qquad \sf \: ➛ 72 = c * 4 * 3 \\ \qquad \sf \: ➛72 = c * 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ (72)/(12) = c \\ \qquad \sf \: ➛ \cancel(72)/(12) = c \\ \qquad \sf \: ➛6 = c`

`\rule{80mm}{2.5pt}`

★ Hence "c" (length) of Rectangular prism (shipping carton) is

`\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}`

Hope it helps !

Answer 2

`\huge\fbox\purple{ANSWER}`

`\mathsf\pink{v = l * w * h}`

`\mathsf \purple{{72in}^(3) = c * 4in * 3in}`

`\mathsf \pink{ {72in}^(3) = c * 12 {in}^(2) }`

`\mathsf \purple{ \frac{72 {in}^(3) }{ {12in}^(2) } = c * \frac{12 {in}^(2) }{ {12in}^(2) } }`

`\mathsf \pink{6in = c}`