Inches to Volume Calculator

Last updated: 02 Apr 2025 | Author: Brij | Review By: Irshad

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This calculator helps you quickly convert dimensions in inches into cubic volume for various shapes, including boxes, cylinders, spheres, and cones.

Length:

inches

Width:

inches

Height:

inches

Volume Results

Cubic Inches:

Cubic Feet:

Cubic Yards:

When working on construction, woodworking, or engineering projects, it's often necessary to convert measurements in inches to volume. Our Inches to Volume Calculator simplifies this process by allowing you to input dimensions in inches and get the corresponding volume in cubic units.

How to Calculate Volume from Inches?

Volume depends on the shape of the object being measured. Below are the formulas for some common shapes:

1. Volume of a Rectangular Box (Cuboid)

For a rectangular box, the volume is calculated using the formula:

$V = L \times W \times H$

where:

$V$ = Volume (cubic inches)
$L$ = Length (inches)
$W$ = Width (inches)
$H$ = Height (inches)

2. Volume of a Cylinder

For a cylindrical object, the volume is given by:

$V = \pi r^2 h$

where:

$V$ = Volume (cubic inches)
$r$ = Radius of the base (inches)
$h$ = Height of the cylinder (inches)
$\pi$ ≈ 3.1416

3. Volume of a Sphere

The volume of a sphere is calculated as:

$V = \frac{4}{3} \pi r^3$

where:

$V$ = Volume (cubic inches)
$r$ = Radius (inches)

4. Volume of a Cone

For a cone, the volume formula is:

$V = \frac{1}{3} \pi r^2 h$

where:

$V$ = Volume (cubic inches)
$r$ = Radius of the base (inches)
$h$ = Height (inches)

Example Calculation

Example 1: Volume of a Rectangular Box

A box has dimensions:

Length = 10 inches
Width = 5 inches
Height = 8 inches

Using the formula:

$V = 10 \times 5 \times 8$

$V = 400 \text{ cubic inches}$

Example 2: Volume of a Cylinder

A cylindrical water pipe has:

Radius = 4 inches
Height = 12 inches

Using the formula:

$V = \pi (4)^2 (12)$

$V = \pi \times 16 \times 12$

$V = 192\pi \approx 603.19 \text{ cubic inches}$

Conclusion

Converting inches to volume is essential in various applications, from construction projects to fluid measurements. Using the Inches to Volume Calculator, you can quickly determine the volume of different shapes without manual calculations. Whether you’re measuring a box, cylinder, sphere, or cone, these formulas will help you get accurate results.

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