Question

A rectangular piece of metal is 25 in longer than it is wide Squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an openbox. If the volume of the box is 1530 in what were the original dimensions of the piece of metal?What is the original width? 19 in(This is answered)What is the original length? ___in(1530 in has an exponent of 3 beside inches just couldn’t input it here so i included a picture)

Answer 1

Given

A rectangular piece of metal is 25 in longer than it is wide Squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box.

If the volume of the box is 1530 in^3.

To find: The dimensions of the length of the piece of metal.

Step-by-step explanation:

It is given that,

The length of the rectangular piece of metal is 25in longer than its width.

Also, the volume of the box which is formed after cutting a square of side 5in along its border.

Since, the width of the rectangular piece of metal is 19in.

Then,

`\begin{gathered} l=25+19 \\ =44in \end{gathered}`

Hence, the length of the rectangular piece of metal is 44inches.