Answer:
The space remaining in the truck is 1,276 cubic feet
Step-by-step explanation:
Given that the dimensions of the haul of the moving truck are;
The length of (the haul) of the moving truck = 16 feet
The width of (the haul) of the moving truck = 10 feet
The height of (the haul) of the moving truck = 8 feet
The number of boxes in the truck = 2 boxes
The dimensions of the boxes in the truck = 2 feet cubes
From the given dimensions, we have;
The volume of the boxes, [tex]V_{boxes}[/tex] = 2 ft.³ + 2 ft.³ = 4 ft.³
The volume of the haul, [tex]V_{haul}[/tex] = 16 feet × 10 feet × 8 feet = 1,280 ft.³
The amount (volume) of space remaining, V = [tex]V_{haul}[/tex] - [tex]V_{boxes}[/tex]
∴ V = 1,280 ft.³ - 4 ft.³ = 1,276 ft.³
The amount of space remaining, V = 1,276 ft.³
