Given a cuboid with sides:
a = 5, b = 7, c = 8
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 = 5 x 7 x 8
Volume = 280
Calculate Surface Area:
Surface Area = 2(ab + bc + ca)
Evaluate Surface Area
Surface Area = 2(5(7) + 7(8) + 8(5))
Surface Area = 2(35 + 56 + 40)
Surface Area = 2(131)
Surface Area = 262
Calculate ab face diagonal length:
dab = √a2 + b2
dab = √52 + 72
dab = √25 + 49
dab = √74
dab = 8.6023252670426
Calculate ac face diagonal length:
dac = √a2 + c2
dac = √52 + 82
dac = √25 + 64
dac = √89
dac = 9.4339811320566
Calculate bc face diagonal length:
dbc = √b2 + c2
dbc = √72 + 82
dbc = √49 + 64
dbc = √113
dbc = 10.630145812735
Calculate Space Diagonal:
dabc = √a2 + b2 + c2
dabc = √52 + 72 + 82
dabc = √49 + 64 + 64
dabc = √177
dabc = 13.30413469565
Other Properties:
Faces = 6
Edges = 12
Vertices = 8
Volume = 280
Surface Area = 262
b
c
dabc = 13.30413469565
Surface Area = 262
b
c
dabc = 13.30413469565
What is the Answer?
Volume = 280
Surface Area = 262
b
c
dabc = 13.30413469565
Surface Area = 262
b
c
dabc = 13.30413469565
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)
Surface Area = 2(ab + bc + ca)
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
