Question

A new sidewalk will be 5 feet​ wide, 280 feet​ long, and filled to a depth of 9 inches ​(0.75 ​foot) with concrete. How many cubic yards of concrete are​ needed?

Answer 1

Answer:

38.9 cubic yards

Step-by-step explanation:

We have been a new sidewalk will be 5 feet​ wide, 280 feet​ long, and filled to a depth of 9 inches ​(0.75 ​foot) with concrete. We are asked to find the amount of concrete required to make the side walk.

The amount of concrete required to make the side walk would be equal to the volume of the sidewalk.

We will use volume of cuboid formula to solve our given problem.

$\text{Volume of cuboid}=\text{Length}\times \text{Height}\times \text{Width}$

$\text{Volume of cuboid}=\text{280 feet}\times \text{5 feet}\times \text{0.75 feet}$

$\text{Volume of cuboid}=1050\text{ feet}^3$

We know that $1\text{ feet}^3=0.037037\text{Yards}^3$.

$\text{Volume of cuboid}=1050\text{ feet}^3\times\frac{0.037037\text{ Yards}^3}{{1\text{ feet}^3}}$

$\text{Volume of cuboid}=1050\times0.037037\text{ Yards}^3$

$\text{Volume of cuboid}=38.88885\text{ Yards}^3$

Therefore, approximately 38.9 cubic yards of concrete are​ needed.