The image showing the dimensions of the truck in question is missing, so i have attached it.
Answer:
Max amount of cargo that can fit in new truck = 756.39 cu.ft
Explanation:
From the diagram attached, we can see that the delivery truck is in the form of a cuboid.
So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.
This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.
For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".
Converting the dimensions to inches, we know that, 1 ft = 12 inches
Thus;
6' 6" = (6 × 12) + 6 = 78"
7' 8" = (7 × 12) + 6 = 90"
14' 3" = (14 × 12) + 6 = 174"
Thus, volume of cuboid = Length x width x height
Thus, volume of cuboid 1 is;
V1 = 78 × 90 × 174 = 1221480 cu.inches
Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".
To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"
So Converting these to inches gives;
7' 8" = (7 × 12) + 8 = 92"
2' 7" = (2 × 12) + 7 = 31"
2' 6" = (2 × 12) + 6 = 30"
Volume of cuboid 2 is;
V2 = 92 × 31 × 30 = 85560 cu.inches
Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches
Now, converting cu.inches to cu.ft, we know that;
1 cu.inches = 1/1728 cu.ft
Thus;
1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft