Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are:
(i) length = 22 cm, breadth = 12 cm and height = 7.5 cm
(ii) length = 15 m, breadth = 6 m and height = 9 dm
(iii) length 24 m, breadth = 25 cm and height = 6 m
(iv) length = 48 cm, breadth 6 dm and height = 1 m
Answers
Answer -
• Volume:-
Volume of cuboid = l × b × h
= 22cm × 12cm × 7.5cm
= 1980cm³
• Lateral Surface Area:-
Lateral surface area of cuboid = 2h(l + b)
= 2×7.5(22cm+12cm)
= 15(34cm)
= 510cm²
• Total Surface Area:-
Total surface area of cuboid = 2(lb+bh+hl)
= 2(22×12 + 12×7.5 + 7.5×22)cm²
= 2(264+90+165)cm²
= 2(519)
= 1038cm²
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(ii) length = 24 m, breadth = 25 cm and the height = 6 m
Answer -
Volume:-
Volume of cuboid = l × b × h
= 24m × 25cm × 6m
= 2400cm × 25cm × 600cm
= 36000000cm³
Lateral Surface Area:-
Lateral surface area of cuboid = 2h(l + b)
= 2×6m(24m+25cm)
= 2×600cm(2400cm+25cm)
= 1200cm(2425cm)
= 2910000cm²
Total Surface Area:-
Total surface area of cuboid = 2(lb+bh+hl)
= 2(24m×25cm + 25cm×6m + 6m×24m)
= 2(2400cm×25cm + 25cm×600cm + 600cm×2400cm)
= 2(60000cm² + 15000cm² + 1440000cm²)
= 2(1515000cm²)
= 3030000cm²
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Related information:-
• Volume of cuboid = l × b × h
• Lateral surface area of cuboid = 2h(l+b)
• Total surface area of cuboid = 2(lb+bh+hl)
Here,
I've converted the m(meter) unit into cm(centimetre) by multiplying it from 100(because 1m=100cm).