Geometry

Volume Calculator

Calculate the volume of any 3D shape — cube, cuboid, cylinder, cone, sphere or triangular prism — with full step-by-step working. The calculator shows the formula, substitution and calculation clearly.

Shape

Length (l)

Width (w)

Height (h)

Volume of Cuboid

60 units³

How it works

Formula
$V = l \times w \times h$
Volume of a cuboid = length × width × height.
Calculate
$V = 5 \times 4 \times 3 = 60$
V = 5 × 4 × 3 = 60 cubic units.
Result:60 units³

Volume formulas

V_{\text{cuboid}} = lwh \quad V_{\text{cyl}} = \pi r^2 h \quad V_{\text{cone}} = \tfrac{1}{3}\pi r^2 h \quad V_{\text{sphere}} = \tfrac{4}{3}\pi r^3

l, w, h

Length, width, height of a cuboid

r

Radius

h

Perpendicular height

Worked examples

Find the volume of a cuboid 6 cm × 4 cm × 3 cm.

1
Formula: V = l × w × h
2
Substitute: V = 6 × 4 × 3
3
Calculate: 72 cm³

Answer: 72 cm³

Find the volume of a cylinder with radius 3 cm and height 10 cm.

1
Formula: V = πr²h
2
Substitute: V = π × 9 × 10
3
Calculate: ≈ 282.74 cm³

Answer: ≈ 282.74 cm³

Find the volume of a sphere with radius 4 cm.

1
Formula: V = (4/3)πr³
2
Substitute: V = (4/3) × π × 64
3
Calculate: ≈ 268.08 cm³

Answer: ≈ 268.08 cm³

Frequently asked questions

What is the formula for the volume of a cylinder?+

Volume = πr²h, where r is the radius and h is the height.

What is the volume of a sphere?+

Volume = (4/3)πr³.

What is the volume of a cone?+

Volume = (1/3)πr²h.

What is the volume of a cuboid?+

Volume = length × width × height.

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