Question

7. Neelam was asked to fill a tank 60 cm x 60 cm x 30 cm with the help of a can
6 cm x 3 cm x 10 cm. How many times will she have to fill and empty the can to fill the entir
tank?​

Answer 1

Given,

Neelam was asked to fill a tank 60 cm x 60 cm x 30 cm with the help of a can  6 cm x 3 cm x 10 cm.

To find :

How many times will she have to fill and empty the can to fill the entire tank.

Solution :

Dimensions of tank are 60cm * 60cm * 30cm

∴ Volume of tank = 60 * 60 * 30

∴ Volume of tank = 108000  cm³

Now dimensions of can = 6cm * 3cm * 10 cm

∴ Volume of can = 6 * 3 * 10

∴ Volume of can = 180 cm³

Now number of times she has to fill :

⇒ Number of times = Volume of tank/Volume of can

⇒ Number of times = 108000/180

⇒ Number of times = 600

Therefore,

She has to fill 600 times to fill the entire tank.

Answer 2

Given -

Dimensions of a tank -

• 60 cm × 60 cm × 30 cm

Dimesnions of a can -

• 6 cm × 3 cm × 10 cm

To find -

• The number of times she will have to fill and empty the can to fill the entire tank.

How to solve?

• Firstly, find the volume of tank and then the volume of the can.
• Then divide the volume of tank by volume of can to get the no. of times she have to fill and empty the can to fill the entire tank.

━━━━━━━━━━━━━━━━━━━━━━

Solution -

Formula to find volume -

$\large\overbrace{\underbrace{\sf{\red{Volume = length \times breadth \times height}}}}$

Substitute the given values.

Volume of tank = 60 × 60 × 30 = 108000 $\sf{cm^3}$

• Volume of tank = 108000 $\sf{cm^3}$

Volume of the can = 6 × 3 × 10 = 180 $\sf{cm^3}$

• Volume of the can = 180 $\sf{cm^3}$

No. of times she have to fill and empty the can to fill the entire tank

= $\sf{\dfrac{Volume~of~tank}{Volume~of~can}}$

Substitute the values.

= $\sf{\dfrac{108000}{180}}$

= $\sf{600}$

• No. of time she have to fill and empty the can to fill the entire tank = 600

$\overbrace{\underbrace{\sf{\blue{Answer = 600}}}}$

━━━━━━━━━━━━━━━━━━━━━━

Know more :-

Cuboid -

• Total surface Area = 2 (Length × Breadth + breadth × height + Length × height)

• Perimeter = 4 (length + breadth + height)

Cube -

• Total surface area = 6 × $\sf{(side)^2}$

• Volume = $\sf{(side)^3}$

• Perimeter = 12 × side