Question

Otis is packing two gift boxes in a shipping carton. The rest of the space in the carton will be filled with packing pellets. What is the volume of the space that needs to be filled with packing pellets?

Answer 1

`V_3 = 1916in^3`

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.

`V = LWH`

From the attachment

L = 16; W =11 and H =13

So:

`V = 16*11*13`

`V = 2288`

Next, calculate the volume of the blue wrap

`V = lwh`

From the attachment

l = 9; w =9 and h =2

So:

`V_1 = 9 * 9 * 2`

`V_1 = 162`

Next, calculate the volume of the pink wrap

`V = lwh`

From the attachment

l = 6; w =5 and h =7

So:

`V_2 = 6*5*7`

`V_2 = 210`

The volume of the rest space (V3) is then calculated as:

`V_3 = V - V_1 -V_2`

`V_3 = 2288 - 162 -210`

`V_3 = 1916`

Hence, the rest volume is 1916in^3\