Mensuration

Mensuration

S . No	​Shape	​Area
0​1	​Rectangle	l x b
02​	​Square	​a2
03​	​Triangle	​1/2 x b x h
04​	​Parallelogram	​b x h
0​5	​Circle	​πr2
06	​Trapezium	​1/2 x h x ( a + b )
0​7	​General quadrilateral	​1/2 x d x ( h
0​8	​Rhombus	​1/2 x d

Open Ended

1. A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

Open Ended

2. Mrs. Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₨.55 per m² .

​Solid Shapes

S . No	Solid Shape	​T.S.A	​L.S.A	​Volume
​1	​Cube	​ 6a2	​4a2	​a3
2​	​Cuboid	​2(lb+bh+lh)	​2(l+b)h	​lbh
3​	​Cylinder	​2πr(r+h)	​2πrh	πr2h

Open Ended

7. A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Open Ended

Find the side of a cube whose surface area is 600 cm2 .