B Nirmala Shastry Solutions for Exercise 1: EXERCISE 18

The figure alongside represents the horizontal cross-section of a pond. $ABDE$ is an isosceles trapezium in which $AE = 1 m, ED = 5 m, BD = 7 m$. $BCD$ is a semicircle on diameter $BD$. The sides of the pond are vertical and the depth of the water in the pond is $50 cm$. Find the volume of the water in the pond.

A certain quality of wood costs $₹ 67,500$ per $m^3$. A solid cubical block of such wood is bought for $₹ 4320$. Calculate the volume of the block and find the length of one edge of the block.

A hall is $10 m$ long, $5 m$ wide and $4 m$ high. It has one door $2 m$ by $1 m$ and $2$ Windows $1 m$ by $80 cm$. Find the area of the $4$ walls (excluding the door and windows)

A hall is $10 m$ long, $5 m$ wide and $4 m$ high. It has one door $2 m$ by $1 m$ and $2$ Windows $1 m$ by $80 cm$. The area of the $4$ walls (excluding the door and windows).

Find the cost of distempering the walls at $₹ 50$ per $m^2$.

A hall is $10 m$ long, $5 m$ wide and $4 m$ high. It has one door $2 m$ by $1 m$ and $2$ Windows $1 m$ by $80 cm$. Find the cost of polishing the floor at the rate of $₹ 5$ per $m^2$.

$ABCD$ is the cross-section of a metal container in a paint factory. If $AB = 2.4 m, DC = 1.6 m, BQ = CR = 1.2 m$ and height of the container is $1.1 m$, find the volume of paint in the container.

$ABCD$ is the cross-section of a metal container in a paint factory. If $AB = 2.4 m, DC = 1.6 m, BQ = CR = 1.2 m$ and height of the container is $1.1 m$, find the cost of paint at $₹ 40$ per litre. [ $1 m^3=1000$ litres]

Calculate the quantity of water in a swimming pool which is $50 m$ long, $12 m$ wide and the shallow and deep ends are $1.5 m$ and $3 m$ respectively