Question

Make calculations based on the type of classroom you want. Use the
formulas learned in the Surface area & volume chapter.Use different dimensions for green
and whiteboard.
Make a corner for your favourite books.Calculate the surface area of green and white boards
and volumeof a cuboidal classroom.

Answer 1

Answer:

What is Surface Area?

The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called surface area. It is also measured in square units.

Generally, Area can be of two types:

(i) Total Surface Area

(ii) Curved Surface Area/Lateral Surface Area

Total surface area

Total surface area refers to the area including the base(s) and the curved part. It is total of the area covered by the surface of the object. If the shape has curved surface and base, then total area will be the sum of the two areas.

Curved surface area/Lateral surface area

Curved surface area refers to the area of only the curved part of the shape excluding its base(s). It is also referred to as lateral surface area for shapes such as a cylinder.

What is Volume?

The amount of space, measured in cubic units, that an object or substance occupies is called volume. Two-dimensional doesn’t have volume but has area only. For example, Volume of Circle cannot be found, though Volume of the sphere can be. It is so because a sphere is a three-dimensional shape.

Surface Area and Volume Formulas

Below given is the table for calculating Surface area and Volume for the basic geometrical figures:

Name Perimeter Total Surface Area Curved Surface Area/Lateral Surface Area Volume Figure

Square 4a a2 —- —- Square

Rectangle 2(w+h) w.h —- —- Rectangle

Parallelogram 2(a+b) b.h —- —- Parallelogram

Trapezoid a+b+c+d 1/2(a+b).h —- —- Trapezoid

Circle 2 π r π r2 —- —- Circle

Ellipse 2π√(a2 + b2)/2 π a.b —- —- Ellipse

Triangle a+b+c 1/2 * b * h —- —- Triangle

Cuboid 4(l+b+h) 2(lb+bh+hl) 2h(l+b) l * b * h Cuboid

Cube 6a 6a2 4a2 a3 Cube

Cylinder —- 2 π r(r+h) 2πrh π r2 h Cylinder

Cone —- π r(r+l) π r l 1/3π r2 h Cone

Sphere —- 4 π r2 4π r2 4/3π r3 Sphere

Hemisphere