Question

the riches are ordering topsoil for their new lawn. the topsoil will be spread evenly over the yard before the grass is planted the yard is 81 feet wide and 111 feet long the topsoil will be spread 2 inches deep how many cubic yards of topsoil are needed

Answer 1

81ft(yd/3ft)*111ft(yd/3ft)*2in(yd/36in)=55.5 yd^3

So 55 1/2 cubic yards of topsoil are needed.

Answer 2

Answer:  55.5 cubic yards topsoil are needed .

Step-by-step explanation:

Given : The riches are ordering topsoil for their new lawn.

The topsoil will be spread evenly over the yard before the grass is planted the yard is 81 feet wide and 111 feet long the topsoil will be spread 2 inches deep .

We Know that 1 yard = 3 feet

And 1 feet = 12 inches

Then , the length  : $l=\dfrac{81}{3}=27\text{ yards}$

Width : $w=\dfrac{111}{3}=37\text{ yards}$

Depth : $h=\dfrac{2}{12\times3}=\dfrac{1}{18}\text{ yards}$

The volume of rectangular prism is given by :-

$V=l\times w\times h$

i.e. $V=27\times 37\times \dfrac{1}{18}=55.5\text{ cubic yards}$