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