Rectangular prism (cuboid) - area and volume
A = 2(a*b)+2(b*c)+(c*a)
V = a * b * c
A = Area
V = volume
a = side "a"
b = side "b"
c = side "c"
WHAT IS IT ?
A rectangular prism is a three-dimensional geometric shape with six faces, all of which are rectangles. The properties of a rectangular prism include:
- Faces: Six rectangular faces, with opposite faces being equal in area.
- Edges: Twelve edges, with opposite edges being equal in length.
- Vertices: Eight vertices, where three edges meet at each vertex.
- Dimensions: Length (l), width (w), and height (h).
Rectangular prisms are fundamental shapes in geometry and have various applications in mathematics, engineering, architecture, and everyday objects such as boxes, books, and buildings.
CALCULATION:
EXAMPLE:
The side a of the cuboid is, for example, 8 cm, side b is, for example, 6 cm, and side c is 4 cm.
Thus
a = 8,
b = 6,
c = 4
area of the cuboid:
We use the formula
A = 2(ab) + 2(bc) + 2(ca)
thus
A = 2(8*6) + 2(6*4) + 2(4*8)
A = 208 cm²
volume of the cuboid:
We use the formula
V = a * b * c
thus
V = 8 * 6 * 4
V = 192 cm³
