Volume and surface area of a cuboid

A cuboid is a solid the sides of which are formed by six rectangles, or four rectangles and two squares.
The opposite sides are identical and parallel.
Space diagonals are equally long.

cuboid

a, b, c	edge
D	space diagonal
d_ab, ac, bc	face diagonal

Calculator

Select the units of measurement

Enter 3 values

edge

a =

edge

b =

edge

c =

space diagonal

D =

face diagonal

d_ab =

face diagonal

d_ac =

face diagonal

d_bc =

volume

V =

surface area

A =

base area

A_b =

lateral area

A_l =

Error

Round to decimal place

Calculation procedure

Formulas

cuboid

volume

$$ V = a \cdot b \cdot c $$

surface area

$$ A = 2 \cdot (ab + ac + bc) $$

base area

$$ A_b = a \cdot b $$

lateral area

$$ A_{l} = 2 \cdot c \cdot (a + b) $$

space diagonal

$$ D = \sqrt{a^2 + b^2 + c^2} $$

face diagonal

$$ \begin{aligned} &d_{ab} = \sqrt{a^2 + b^2} \\ \\ &d_{ac} = \sqrt{a^2 + c^2} \\ \\ &d_{bc} = \sqrt{b^2 + c^2} \end{aligned} $$

Volume and surface area of a cuboid

cuboid

Calculator

Select the units of measurement

Enter 3 values

edge

edge

edge

space diagonal

face diagonal

face diagonal

face diagonal

volume

surface area

base area

lateral area

Error

Calculation procedure

Formulas

cuboid

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