a cargo container is 50ft long, 10 ft wide, and 8 ft tall. find its volume In cubic yards.

Answer: 148.15 cubic yards (148.148148148148...)
A structure's volume is found by multiplying the length, width, and height together. I would convert all the dimensions into yards first. There are 3 feet in a yard, so divide 50, 10, and 8 all by 3 to get the new dimensions.

Length in yards: 50/3 feet
Width in yards: 10/3 feet
Height in yards: 8/3 feet

The formula for volume is [tex]V=LWH[/tex], so plug in the values for length (L), width (W), and height (H): [tex]V=( \frac{50}{3})(\frac{10}{3})( \frac{8}{3})[/tex]

Multiply out the fractions: [tex]V= \frac{4000}{27} [/tex] yards³

This simplifies to 148.148 cubic yards repeating (148.148148148...)

ewomazinoade ewomazinoade · Answer 2 · 2021-10-21T10:26:30+02:00

The volume of the cargo container is 148.21 yards³.

The cargo container has the shape of a rectangular prism.

A rectangular prism is a three-dimensional object. It also known as a cuboid. A rectangular prism has six faces and the opposite sides are similar.

Volume = length x width x height

The first step is to convert the dimensions from feet to yards.

Conversion of feet to yards

1 feet = [tex]\frac{1}{3}[/tex] yards

50 x [tex]\frac{1}{3}[/tex] = 16.67 yards

10 x [tex]\frac{1}{3}[/tex] = 3.33 yards

8 x [tex]\frac{1}{3}[/tex] = 2.67 yards.

The second step is to determine the volume of the cargo using the converted dimensions.

16.67 x 3.33 x 2.67 = 148.21 yards³

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