the number sacks necessary for a 4inch sidewalk 6ft wide and 27ft long at 6 sacks of cement per cubic yard of concrete is?
Change the feet and inches to yards.
(1/9) * 2 * 9 = 2 cubic yards
6 * 2 = _____ sacks
12 sacks
Right.
To find out the number of sacks necessary, we need to follow these steps:
Step 1: Calculate the volume of the 4-inch sidewalk.
The volume of a rectangular sidewalk can be calculated using the formula:
Volume = Length × Width × Height
Given:
Width = 6 ft
Length = 27 ft
Height (thickness) = 4 inches = 4/12 ft (since 12 inches = 1 ft)
Plugging these values into the formula:
Volume = 27 ft × 6 ft × (4/12) ft
Step 2: Convert the volume to cubic yards.
Since we are given the cement requirement in sacks per cubic yard, it is necessary to convert the volume from cubic feet to cubic yards:
1 yard = 3 feet
Volume (cubic yards) = Volume (cubic feet) / 27
Step 3: Multiply the volume in cubic yards by the number of sacks per cubic yard.
Given: 6 sacks of cement per cubic yard
Number of sacks necessary = Volume (cubic yards) × 6
Let's calculate each step:
Step 1: Calculate the volume of the 4-inch sidewalk.
Volume = 27 ft × 6 ft × (4/12) ft
Volume = 162 ft³
Step 2: Convert the volume to cubic yards.
Volume (cubic yards) = 162 ft³ / 27
Volume (cubic yards) = 6 yd³
Step 3: Multiply the volume in cubic yards by the number of sacks per cubic yard.
Number of sacks necessary = 6 yd³ × 6
Number of sacks necessary = 36 sacks
Therefore, you would need 36 sacks of cement for a 4-inch sidewalk that is 6 ft wide and 27 ft long, assuming it requires 6 sacks of cement per cubic yard of concrete.