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Question

Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are :
length $$=24m$$, breadth $$=25cm$$ and height $$=6m$$.


Solution

It is given that length $$=24\ cm$$, breadth $$25\ cm=0.25m$$ and height $$=6m$$

We know that

Volume of cuboid $$=1\times b \times h$$

By substituting the value we get

Volume of cuboid $$=24\times 0.25\times 6$$

By multiplication 

Volume of cuboid $$=36\ m^3$$

We know that

Lateral surface of a cuboid $$=2(1+b)\times h$$

By substituting the values

Lateral surface area of a cuboid $$=2(24+0.25)\times 6$$

On further calculation

Lateral surface area of a cuboid $$=2\times 24.25\times 6$$

By multiplication

Lateral surface area of a cuboid $$=291\ m^2$$

We know that 

Total surface area of cuboid $$=2(Ib+bh+Ih)$$

By substituting the value

Total surface area of cuboid $$=2(24\times 0.25+0.25\times 6+24\times 6)$$

On further calculation 

Total surface area of cuboid $$=2(6+1.5+144)$$ 

So we get

Total surface area of cuboid $$=2\times 151.5$$

By multiplication 

Total surface area of cuboid $$=303\ cm^2$$

Mathematics
RS Agarwal
Standard IX

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