Find the volume, the lateral surface area and the total surface ed area of the cuboid whose dimensions are:
i) length= 12cm, breadth= 8 cm and height= 4.5 cm.
ii) length= 26cm, breadth= 14m and
height= 6.5m
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Answers
(i)
Here, l = 12 cm, b = 8 cm, h = 4.5 cm
Volume of the cuboid = l×b×h
=(12×8×4.5) cm3= 432 cm3
Total Surface area = 2(lb + lh+ bh)
=2(12×8 + 12×4.5 +8×4.5) cm2=2(96 +54 + 36) cm2=2× 186 cm2=372 cm 2
Lateral surface area = 2(l+b)×h
=[2(12+8)×4.5] cm2=[2(20)×4.5] cm2=40×4.5 cm2=180 cm2
(ii) Here, l = 26 m; b = 14 m; h =6.5 m
Volume of the cuboid = l×b×h
=(26×14×6.5)m3=2366 m3
Total surface area = 2(lb + lh+ bh)
=2(26×14+26×6.5+6.5×14) m2=2(364+169+91) m2=2×624 m2=1248 m2
Lateral surface area = 2(l+b)×h
=[2(26+14)×6.5] m2=[2×40×6.5] m2=520 m2
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