Packing boxes are similar shapes with the coefficient of similarity k=2.1. The volumes of similar shapes are proportional with the coefficient
[tex]K=k^3=2.1^3=9.261.[/tex]
Then
[tex]\dfrac{V_{large}}{V_{small}}=K\Rightarrow V_{large}=9.261V_{small}=9.261\cdot 24=222.264\ cm^3.[/tex]
The volume of the tissue paper in the packaging box is
[tex]V_{paper}=V_{large}-V_{small}=222.264-24=198.264\ cm^3.[/tex]
Answer: [tex]198.264\ cm^3.[/tex]
Answer:
198.264 cubic cm is the volume of tissues in the box.
Step-by-step explanation:
Let us take the dimensions of the smaller box as l, w, h (length, width, height)
Volume of the box is given as 24 cubic cm.
[tex]l \times w \times h=24[/tex]
As given, the dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box.
So, the volume of the larger packing box will become:
[tex]2.1l \times2.1w\times2.1h[/tex] = 9.261 lwh
Now, already we know lwh = 24
So, Volume of larger box is :
[tex]9.261\times24=222.264[/tex] cubic cm
Therefore, the volume of the tissue paper in the packaging box is :
[tex]222.264-24=198.264[/tex] cubic cm.
