Question

A moving truck is 16 feet long, 10 feet wide, and 8 feet high. If there are two boxes I. The truck that are each2 feet cubes, how much space remains in the truck?

Answer 1

The space remaining in the truck is 1,276 cubic feet

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,
`V_(boxes)` = 2 ft.³ + 2 ft.³ = 4 ft.³

The volume of the haul,
`V_(haul)` = 16 feet × 10 feet × 8 feet = 1,280 ft.³

The amount (volume) of space remaining, V =
`V_(haul)` -
`V_(boxes)`

∴ V = 1,280 ft.³ - 4 ft.³ = 1,276 ft.³

The amount of space remaining, V = 1,276 ft.³