Answer: About 8.5 cubic yards
Step-by-step explanation:
Given : The length of the garden = 16 ft.
The width of the garden = 34 ft.
The depth of the thick layer of topsoil on the garden = 5 inch
=[tex]\dfrac{5}{12}\text{ ft.}[/tex] [Since 1 foot = 12 inches]
The volume of a rectangular prism :-
[tex]V=l*w*h[/tex], where l is length , w is width and h is height.
The number of cubic feet of topsoil required will be
[tex]V=16\times34\times\dfrac{5}{12}=\dfrac{680}{3}\text{cubic feet}[/tex]
Since 1 yard = 3 feet
[tex]1\text{ foot}=\dfrac{1}{3}\text{ yard}[/tex]
[tex]V=\dfrac{680}{3}\times\dfrac{1}{3}\times\dfrac{1}{3}\times\dfrac{1}{3}=8.3950617284\approx8.50\text{cubic yards}[/tex]
