Question

A cuboidal box of external dimensions 84cm by 64 cm by 17 cm (open from the top) is made up of wood of thickness 2 cm find (1) volume of the inner cuboid (2) outer lateral surface area

Answer 1

Answer :-

• Volume of inner cuboid = 72000cm³
• Outer lateral surface area = 5032cm²

Step-by-step explanation :-

To Find,

• Volume of the inner cuboid
• Outer lateral surface area

Solution,

• Volume of inner cuboid

» Inner length = 84 - ( 2 + 2 )

= 84 - 4

= 80cm

» Inner breadth = 64 - ( 2 + 2 )

= 64 - 4

= 60cm

» Inner height

= 17 - 2

= 15cm

Now, Volume, As we know that,

Volume of cuboid = ( l × b × h ),

Where,

• l = Length
• b = Breadth
• h = Height

Therefore,

» 80cm × 60cm × 15cm

» 4800cm² × 15cm

» 72000cm³

The inner volume is 72000cm³.

Now,

• Outer lateral surface area

As we know that,

Lateral surface area of cuboid = 2 [ ( l + b ) × h ]

Where,

• l = Length
• b = Breadth
• h = Height

Therefore,

» 2 [ ( 84 + 64 ) × 17 ]

» 2 [ 148 × 17 ]

» 2 × 2516

» 5032cm²

The outer lateral surface area is 5032cm².

Answer 2

Answer:

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Step-by-step explanation:

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