What is the volume of Cuboid???
Answers
ANSWER
- l*b*h
VOLUME
- Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface. For example, the space that a substance (solid, liquid, gas, or plasma) or 3D shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.
CUBOID
- In geometry, a cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube.
FACES OF CUBOID
- 6FACES
VERTICES OF CUBOID
- 8
EDGES
- 12
EULER FORMULA VERIFICATION FOR CUBOID
- F+V=E+2
- 6+8=12+2
- 14=14
- IT'S VERIFIED
OTHER FORMULA
- TSA=2(LB+BH+LH)
- DIAGONAL=√L^2+B^2+H^2
Answer:
In geometry, a cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube. While mathematical literature refers to any such polyhedron as a cuboid.
Thetype of cuboid is also known as a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.
By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges. Along with the rectangular cuboids, any parallelepiped is a cuboid of this type, as is a square frustum (the shape formed by truncation of the apex of a square pyramid).
Rectangular cuboid
Type Prism
Plesiohedron
Faces 6 rectangles
Edges 12
Vertices 8
Symmetry group D2h, [2,2], (*222), order 8
Schläfli symbol { } × { } × { }
Coxeter diagram CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
Dual polyhedron Rectangular fusil
Properties convex, zonohedron, isogonal.
Volume: l × w × h
l= length
w= width
H= height
Explanation: