Question

each brick
Use same unit for both.)
6. A cardboard box is 1.2 m long, 0.72 m wide and 0.54 m high. How many bars of soap can be put into
it if each bar measures 6 cm x 4 cm x 4 cm?
rectangular water tank is 90 cm long and 40 cm broad. If it can hold 576 litres of water, what is its​

Answer 1

• Given

• Dimensions of a cardboard box -
• Length of cardboard = 1.2 m
• Breadth of cardboard = 0.72 m
• Height of cardboard = 0.54 m

• Dimensions of soap -
• Length of soap = 6 cm
• Breadth of soap = 4 cm
• Height of soap = 4 cm

• To find

• Number of bar soaps that can be put into cardboard

• Solution

• Firstly, we will find the volume of the cardboard. [ The units should be same. ]

• Then find the volume of the soap.

• To find the no. of soaps that can be put into the cardboard - Divide the volume of cardboard by volume of soap.

Volume of cardboard -

Volume = length × breadth

⇒ (1.2 × 0.72 × 0.54) m³

⇒ 0.46656 m³

• 1 m = 100 cm
• 1 m³ = 100³ cm³

Multiply the given value by (100)³ cm³

⇒ 466560 cm³

• Volume of cardboard = 466560 cm³

Volume of soap -

Volume = length × breadth × height

⇒ (6 × 4 × 4) cm³

⇒ 96 cm³

• Volume of soap = 96 cm³

No. of soaps that can be fit into the cardboard =

Volume of cardboard/Volume of soap

⇒ 466560/96

⇒ 4860

No. of soaps that can be fit into the cardboard area 4860.

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• Correct Question

• A rectangular water tank is 90 cm long and 40 cm broad. If it can hold 576 litres of water, what is its height.

• Given

• Dimensions of a rectangular water tank -
• length of rectangular water tank = 90 cm
• Breadth of rectangular water tank = 40 cm
• Volume of water it can hold = 576 litres

• To find

• height of the rectangular tank

• Solution

Volume of tank = 576 litres

• 1 litre = 1000 cm³
• Multiply the value by 1000

⇒ 576 × 1000

⇒ 576000 cm³

• Volume of tank = 576000 cm³

Volume of rectangular tank = length × breadth × height

Substitute the given values,

⇒ 576000 = height × 90 × 40

⇒ 576000 = length × 3600

⇒ 576000/3600 = height

⇒ 160 = height

• Height of the rectangular tank = 160 cm