A concrete pad has dimensions 9 ft by 9 ft by 4 inches. How many cubic yards of concrete does it contain?
To find the volume of the concrete pad in cubic yards, follow these steps:
Step 1: Convert the dimensions to yards.
1 foot = 1/3 yard
4 inches = 4/12 feet = 1/3 yard
The dimensions in yards are:
Length: 9 ft × 1/3 yard/ft = 3 yards
Width: 9 ft × 1/3 yard/ft = 3 yards
Height: 1/3 yard
Step 2: Calculate the volume.
Volume = Length × Width × Height
Volume = 3 yards × 3 yards × 1/3 yard
Volume = 3 cubic yards
Therefore, the concrete pad contains 3 cubic yards of concrete.
To calculate the volume of a concrete pad, you need to multiply its length, width, and height.
First, convert the dimensions to a consistent unit. Since we are dealing with cubic yards, convert the dimensions to yards.
Length: 9 ft = 9/3 = 3 yards
Width: 9 ft = 9/3 = 3 yards
Height: 4 inches = 4/36 = 1/9 yards (since there are 36 inches in a yard)
Multiplying the three dimensions together, we get:
Volume = Length × Width × Height
Volume = 3 yards × 3 yards × (1/9) yards
Volume = 9/9 = 1 cubic yard
Therefore, the concrete pad contains 1 cubic yard of concrete.
9 * 9 * 1/3 = 27 cubic feet
27 cubic feet = 1.0 cubic yard