Cuboid Sides of a = 4, b = 5, c = 6

Cuboid Sides of a = 4, b = 5, c = 6 Image to Crop

Enter Cuboid Side Lengths:

Given a cuboid with sides:

a = 4, b = 5, c = 6

Calculate the Surface Area, Volume and Diagonals

Definition of a Cuboid:

A convex polyhedron bounded by

six quadrilateral faces

Cuboid Picture:

Calculate Cuboid Volume:

Volume = a x b x c

Evaluate Volume

Volume = 4 x 5 x 6

Volume = 120

Calculate Surface Area:

Surface Area = 2(ab + bc + ca)

Evaluate Surface Area

Surface Area = 2(4(5) + 5(6) + 6(4))

Surface Area = 2(20 + 30 + 24)

Surface Area = 2(74)

Surface Area = 148

Calculate ab face diagonal length:

dab = √a2 + b2

dab = √42 + 52

dab = √16 + 25

dab = √41

dab = 6.4031242374328

Calculate ac face diagonal length:

dac = √a2 + c2

dac = √42 + 62

dac = √16 + 36

dac = √52

dac = 7.211102550928

Calculate bc face diagonal length:

dbc = √b2 + c2

dbc = √52 + 62

dbc = √25 + 36

dbc = √61

dbc = 7.8102496759067

Calculate Space Diagonal:

dabc = √a2 + b2 + c2

dabc = √42 + 52 + 62

dabc = √25 + 36 + 36

dabc = √97

dabc = 9.8488578017961

Other Properties:

Faces = 6

Edges = 12

Vertices = 8

Volume = 120
Surface Area = 148
b
c

dabc = 9.8488578017961

You have 1 free calculations remaining

What is the Answer?

Volume = 120
Surface Area = 148
b
c

dabc = 9.8488578017961

How does the Cuboid Calculator work?

Free Cuboid Calculator - Calculates the volume, surface area, diagonals, and space diagonal for a cuboid
This calculator has 3 inputs.

What 2 formulas are used for the Cuboid Calculator?

Volume = a x b x c
Surface Area = 2(ab + bc + ca)

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Cuboid Calculator?

cube solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edgescuboidA six-faced solid. Its faces are quadrilateralsdiagonalline segment that goes from one corner to another, but is not an edgesideline segment joining two vertices in a polygon also known as an edgesurface areathe amount of space covering the outside of a three-dimensional shape.volumequantity of 3-dimensional space

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