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

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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:

d_ab = √a² + b²

d_ab = √4² + 5²

d_ab = √16 + 25

d_ab = √41

d_ab = 6.4031242374328

Calculate ac face diagonal length:

d_ac = √a² + c²

d_ac = √4² + 6²

d_ac = √16 + 36

d_ac = √52

d_ac = 7.211102550928

Calculate bc face diagonal length:

d_bc = √b² + c²

d_bc = √5² + 6²

d_bc = √25 + 36

d_bc = √61

d_bc = 7.8102496759067

Calculate Space Diagonal:

d_abc = √a² + b² + c²

d_abc = √4² + 5² + 6²

d_abc = √25 + 36 + 36

d_abc = √97

d_abc = 9.8488578017961

Other Properties:

Faces = 6

Edges = 12

Vertices = 8