Question

8 fun fact about Surface area and volume​

Answer 1

Answer:

Three measures of central tendency of ungrouped data are: (i) mean, (ii) median and (iii) mode.

• Total surface area of a cuboid = 2[lb + bh + lh]

• Total surface area of a cube = 6(side)2

• Lateral surface area of a cuboid = Area of walls of a room = 2(l + b) × h

• Lateral surface area of a cube = 4a2

• Curved surface area of cylinder = 2πrh

• Total surface area of a cylinder = 2πr(r + h)

• Curved surface area of a cone = πrl

• Total surface area of a cone = πr(r + l)

• Surface area of a sphere = 4πr2

• Curved surface area of a hemisphere = 2πr2

• Total surface area of a hemisphere = 3πr2

• Volume of a'cuboid = l × b × h

• Volume of a cube = (side)3

• Volume of a cylinder = πr2rh

SOLIDS AND THEIR SURFACE AREAS

The bodies occupying space are called solids, such as a cuboid, a cube, a cylinder, a cone, a sphere, etc.

These solids have plane or curved surfaces.

SURFACE AREA OF A CUBOID AND A CUBE

The outer surface of a cuboid is made up of six rectangles. If we take the length of the cuboid as l, breadth as b and the height as h, then

Surface area of a cuboid = 2[lb + bh + hl]

Let us recall that a cuboid whose length, breadth and height are equal is called a cube. Let each edge of the cube be �a', then

Surface area of a cube = 6a2

Note: I. Sometimes a cuboid does not have bottom and top faces. is called the lateral surface area.

II. Lateral surface area of a cuboid is 2(l + b)h.

III. Lateral surface area of a cube is 4a2.

IV. Surface area of a cuboid or cube means total surface area.

Answer 2

It is perfectly symmetrical.All points on the surface are the same distance "r" from the centre .It has no edges or vertices (corners). It has one surface (not a "face" as it isn't flat) .It is not a polyhedron

Balls and marbles are shaped like spheres

Of all the shapes, a sphere has the smallest surface area for a volume. Or put another way it can contain the greatest volume for a fixed surface area.

The sphere appears in nature when a surface wants to be as small as possible.