85.2k views
3 votes
You need to order cement to make a concrete sidewalk 3 feet wide and 95 feet long. Assume that the depth of the concrete is 4 inches. How much cement is needed, in cubic feet? Ask Your Teac Cement is usually ordered in cubic yards. How many cubic yards of cement do you need? (Round your answer to one decimal place.)

2 Answers

4 votes

Final answer:

To make a concrete sidewalk of the given dimensions, you will need 94.9975 cubic feet of cement, which equates to 3.5 cubic yards when rounded to one decimal place.

Step-by-step explanation:

To calculate the amount of cement needed for a concrete sidewalk that is 3 feet wide, 95 feet long, and 4 inches deep, you first need to convert all dimensions to the same unit of measurement, which is feet. Since there are 12 inches in a foot, the depth would be 4 inches ÷ 12 = 0.3333 feet. Then, you can determine the volume in cubic feet by multiplying the width, length, and depth: 3 feet × 95 feet × 0.3333 feet = 94.9975 cubic feet.

Next, since cement is usually ordered in cubic yards, you need to convert cubic feet to cubic yards. There are 27 cubic feet in one cubic yard, so you divide the total cubic feet by 27 to get the amount in cubic yards: 94.9975 cubic feet ÷ 27 = 3.5184 cubic yards. Rounded to one decimal place, the final answer is 3.5 cubic yards of cement needed for the sidewalk.

User Rossanna
by
5.4k points
3 votes

Answer:

3.5 cubic yards of cement we need.

Step-by-step explanation:

Given : You need to order cement to make a concrete sidewalk 3 feet wide and 95 feet long. Assume that the depth of the concrete is 4 inches.

To find : How much cement is needed, in cubic feet? How many cubic yards of cement do you need?

Solution :

The length of the side walk is 95 feet long.

The width of the side walk is 3 feet long.

The depth of the concrete is 4 inches.

Convert inches into feet,

1 inch = 0.083 feet

4 inch =
4* 0.083=0.332 feet

Volume of the cement required is given by


V=l* b* h


V=95* 3* 0.332


V=94.62\ ft^3

Converting volume into yards,


1\ ft^3=0.037\ yd^3


94.62\ ft^3=3.50094\ yd^3

Therefore, 3.5 cubic yards of cement we need.

User Efi G
by
5.0k points