In Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
Volume of cube = a^{3}
Lateral surface area = 4a^{2}
Total surface area = 6a^{2}
To find side length of cube from the diagonal, we use the formula
Side length = a√3
In geometry, a rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.
Lateral surface area = 2h(l + w)
Total surface area = 2(lw + wh + hl)
Volume = length x width x height
Lateral surface area = ph
p = Perimeter of the triangle and h = height of the prism
Total surface area = ph + 2B
B = Base area of triangular prism
Volume = Base area x height
A cylinder is a three dimensional solid that holds two parallel bases joined by a curved surface at a fixed distance.
Lateral surface area of cylinder = 2πrh
Total surface area = 2πr(h + r)
Volume of cylinder = πr^{2}h
A pyramid is a 3D polyhedron with the base of a polygon along with three or more triangle-shaped faces that meet at a point above the base
Surface area of pyramid = Area of all faces
Volume = (1/3) x base area x height
Formula for surface area of a sphere,
S = 4πr²
Formula for volume of a sphere
V = (4/3)πr³
(where r is the radius of the sphere)
Formula for surface area of a cone,
Lateral surface area = πrl
Total surface area = πr(l + r)
Formula for volume of a cone
V = (1/3)πrl
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