Solved Examples on yd3 to in3
Example 1: Convert 14 cubic yards into cubic inches.
Solution:
We know that,
1 Cubic yard = 46656 cubic inches
Hence,
14 yd3 = 14 × 46656 in3
14 yd3 = 6,53,184 in3
Therefore, the value of 14 cubic yards is 6,53,184 cubic inches.
Example 2: Convert 0.0023 cubic yards into cubic inches.
Solution:
We know that,
1 Cubic yard = 46656 cubic inches
Hence,
0.0023 yd3 = 0.0023 × 46656 in3
0.0023 yd3 = 107.3088 in3
Therefore, the value of 0.0023 cubic yards is 107.3088 cubic inches.
Example 3: Convert 1.59 cubic inches into cubic yards.
Solution:
We know that,
1 cubic inch = 2.1433 × 10-5 cubic yards
Hence,
1.59 in3 = 1.59 × 2.1433 × 10-5 yd3
1.59 in3 = 3.40792 × 10-5 yd3
Therefore, the value of 1.59 cubic inches is 3.40792 × 10-5 cubic yards.
Example 3: Convert 213 cubic inches into cubic yards.
Solution:
We know that,
1 cubic inch = 2.1433 × 10-5 cubic yards
Hence,
213 in3 = 213 × 2.1433 × 10-5 yd3
213 in3 = 4.57× 10-3 yd3
Therefore, the value of 1.59 cubic inches is 4.57× 10-3 cubic yards.
Cubic Yards to Cubic Inches
A cubic yard and a cubic inch are the units of measurement of a unit volume. Volume is defined as the measure of space occupied by a three-dimensional object. The volume of a three-dimensional object differs from one shape to the other, as we have different shapes of 3D objects, such as spherical, conical, cylindrical, etc. The volume of a 3D geometric object is expressed quantitatively using SI-derived units like a cubic meter or liter or by using various imperial units like cubic feet, cubic yards, gallons, quarts, etc. The conversion of units aids in mathematical problem-solving by enabling us to follow the units to approach the solution. Now, let us discuss the conversion of cubic yards to cubic inches.