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
Surface Area = 148
b
c
dabc = 9.8488578017961
You have 2 free calculationss remaining
What is the Answer?
Volume = 120
Surface Area = 148
b
c
dabc = 9.8488578017961
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.
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
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 edges
- cuboid
- A six-faced solid. Its faces are quadrilaterals
- diagonal
- line segment that goes from one corner to another, but is not an edge
- side
- line segment joining two vertices in a polygon also known as an edge
- surface area
- the amount of space covering the outside of a three-dimensional shape.
- volume
- quantity of 3-dimensional space
Example calculations for the Cuboid Calculator
Cuboid Calculator Video
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