3 Mark Question

Question 13 Marks

For rain water harvesting a tank of length 10 m, breadth 6 m and depth 3 m is built. What is the capacity of the tank? How many litre of water can it hold?
Given: For a cuboidal tank,
Length (l) = 10 m, breadth (b) = 6 m, depth (h) = 3 m
To find: Capacity of the tank and litre of water tank can hold.

Answer

i. l = 10m = 10 x 100 …[∵ 1m = 100cm]
= 1000 cm,
b = 6 m = 6 x 100 = 600 cm,
h = 3 m = 3 x 100 = 300 cm
Volume of the tank = l x b x h
= 1000 x 600 x 300
= 18,00,00,000 cc

ii. Capacity of the tank = Volume of the tank
= 18,00,00,000 cc
$=\frac{18,00,00,000}{1000}$
…[∵ 1 litre =1000 cc]
= 1,80,000 litre
∴ The capacity of the tank is 18,00,00,000 cc and it can hold 1,80,000 litre of water.

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Question 23 Marks

How many bricks of length 25 cm , breadth 15 cm and height 10 cm are required to build a wall of length 6 m , height 2.5 m and breadth 0.5 m ?
Given: For the cuboidal shape brick:
$\text { length }\left(l_1\right)=25 cm$
$\text { breadth }\left(b_1\right)=15 cm$
$\text { height }\left(h_1\right)=10 cm$
For the cuboidal shape wall:
$\text { length }\left(I_2\right)=6 m \text {, }$
height $\left( h _2\right)=2.5 m$,
$\text { breadth }\left(b_2\right)=0.5 m$
To find: Number of bricks required

Answer

When all the bricks are arranged to build a wall, the volume of all the bricks is equal to volume of wall.
$\therefore$ Number of bricks $=\frac{\text { volume of the wall }}{\text { volume of a brick }}$
i. Volume of a brick $=l_1 \times b_1 \times h_1$
$=25 \times 15 \times 10 cc$
ii. $l _2=6 m=6 \times 100 \ldots[\because 1 m=100 cm]$
$=600 cm$
$h_2=2.5 m=2.5 \times 100=250 cm$
$b_2=0.5 m=0.5 \times 100=50 cm$
Volume of the wall $=1_2 \times b_2 \times h_2$
$=600 \times 50 \times 250 cc$
iii. Number of bricks $=\frac{\text { volume of the wall }}{\text { volume of a brick }}=\frac{600 \times 50 \times 250}{25 \times 15 \times 10}$
$=40 \times 2 \times 25$
$=2000$ bricks
$\therefore 2000$ bricks are required to build the wall.

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