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 thatVolume of cuboid $$=1\times b \times h$$By substituting the value we getVolume of cuboid $$=24\times 0.25\times 6$$By multiplication Volume of cuboid $$=36\ m^3$$We know thatLateral surface of a cuboid $$=2(1+b)\times h$$By substituting the valuesLateral surface area of a cuboid $$=2(24+0.25)\times 6$$On further calculationLateral surface area of a cuboid $$=2\times 24.25\times 6$$By multiplicationLateral surface area of a cuboid $$=291\ m^2$$We know that Total surface area of cuboid $$=2(Ib+bh+Ih)$$By substituting the valueTotal 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 getTotal surface area of cuboid $$=2\times 151.5$$By multiplication Total surface area of cuboid $$=303\ cm^2$$MathematicsRS AgarwalStandard IX

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