Katie needs to figure out how much space a shoebox takes up it is 14 1/2 inches long 5 inches high and 6 1/2 inches wide What is the shoe box's volume
Katie needs to figure out how much space a shoebox takes up it is \(\dfrac{14 1}{2}\) inches long 5 inches high and \(\dfrac{61}{2}\)inches wide Then the Volume of the shoe box's will be \(\rm \dfrac{4711}{4}in^{3}\) or \(\rm 471.25 in^{3}\)
To find the volume of the shoe box we need formula , here the box is rectangular in shape so, we will use Volume of Rectangle .
Rectangular box consists of Length , Breadth and height , so volume of Rectangular box \(= \rm Length \times Breadth\times Height\)
According to the formula, we will solve further to measure the volume of Shoe box,
\(=14.5 \times 5 \times 6.5\\= 471.25\)
Or it can also be written as,
\(=\dfrac{141}{2} \times5 \times \frac{6 1}{2}\\\\\=\dfrac{471 1}{4}\)
Therefore, The Volume of the shoe box will be \(=\rm \dfrac{471 1}{4}in^{3}\)
Learn more about Volume of Rectangular box here : https://brainly.com/question/4678344