Question

A cardboard box is 18 feet long, 7 feet wide, and 6 inches high. What is the is closest to the volume of the box in cubic YARDS? 20 points

Answer 1

The volume of the box is
`2.33\ \text{yards}^3`.

Explanation:

We have,

Length of a cardboard box is 18 feet

Width of cardboard box is 7 feet

Height of a cardboard box is 6 inches

The conversion from one units and another is as follows :

1 foot = 0.334 yards

18 feet = 6 yards

7 feet = 2.334 yards

1 inch = 0.0277 yards

6 inches = 0.1667 yards

Now,

Length, l = 6 yards

Width, b = 2.334 yards

Height, h = 0.1667 yards

The box in the form of cuboid. The volume of a cuboid shaped object is given by :

`V=l* b* h`

Plugging all the values, we get :

`V=6* 2.334* 0.1667\\\\V=2.33\ \text{yards}^3`

So, the volume of the box is
`2.33\ \text{yards}^3`.