A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?

The image showing the dimensions of the truck in question is missing, so i have attached it.

Max amount of cargo that can fit in new truck = 756.39 cu.ft

Step-by-step 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

5050

hope this !

54.864 meters

step-by-step explanation: