Answer:
[tex]V_3 = 1916in^3[/tex]
Step-by-step explanation:
Given
See attachment for gift items and the shipping carton
Required
Determine the volume of the empty space
First, we calculate the volume of the carton.
[tex]V = LWH[/tex]
From the attachment
L = 16; W =11 and H =13
So:
[tex]V = 16*11*13[/tex]
[tex]V = 2288[/tex]
Next, calculate the volume of the blue wrap
[tex]V = lwh[/tex]
From the attachment
l = 9; w =9 and h =2
So:
[tex]V_1 = 9 * 9 * 2[/tex]
[tex]V_1 = 162[/tex]
Next, calculate the volume of the pink wrap
[tex]V = lwh[/tex]
From the attachment
l = 6; w =5 and h =7
So:
[tex]V_2 = 6*5*7[/tex]
[tex]V_2 = 210[/tex]
The volume of the rest space (V3) is then calculated as:
[tex]V_3 = V - V_1 -V_2[/tex]
[tex]V_3 = 2288 - 162 -210[/tex]
[tex]V_3 = 1916[/tex]
Hence, the rest volume is 1916in^3\
