Suppose that you must order concrete for a sidewalk that is to be 58 ft by 3 ft to a depth of 6 in. How much concrete is required? (Answer to the nearest 1/2 cubic yard.)
my answe is 11.5 and is wrong.ugh
1 ft = 12 in
6 in = 0.5 ft
V = 58 * 3 * 0.5 = 87 ft ^ 3
1 yd = 3 ft
1 yd ^ 3 = 3 ^ 2 = 27 ft ^ 3
87 / 27 = 3.222 yd ^ 3
approx. 3 yd ^ 3
To calculate the amount of concrete required, you need to calculate the volume of the sidewalk. Here's how you can do it step-by-step:
1. Convert the dimensions to the same unit of measurement. Since the depth is provided in inches, it's better to convert the length and width to inches as well.
Length = 58 ft = 58 ft * 12 in/ft = 696 inches
Width = 3 ft = 3 ft * 12 in/ft = 36 inches
2. Calculate the volume of the sidewalk by multiplying the length, width, and depth.
Volume = Length * Width * Depth
Volume = 696 in * 36 in * 6 in = 149,472 cubic inches
3. Convert the volume from cubic inches to cubic yards. Since you're required to round to the nearest 1/2 cubic yard, you'll need to perform a few conversions.
1 cubic yard = 12 inches * 12 inches * 12 inches = 1,728 cubic inches
Volume in cubic yards = Volume in cubic inches / 1,728
Volume in cubic yards = 149,472 cubic inches / 1,728 = 86.5 cubic yards
4. Finally, round the answer to the nearest 1/2 cubic yard.
The nearest 1/2 cubic yard is 86.5, and when rounded, it becomes 87 cubic yards.
Therefore, the correct answer is 87 cubic yards of concrete.