The table below gives data relating to the dimensions and surface areas of cuboids and cubes. Fill in the missing items. 8 cm Length Breadth Height Surface area (0) 13 cm 10 cm (ii) 15 cm 10 cm 1300 cm? (iii) 1.5 cm 50 cm 5.5 m? 600 m² (given that the solid is a cube) 2 (iv) - - 1
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Answer :
- Surface area = 628cm^2
- Height = 20cm
- Breadth = 3.8cm
- Length,Breadth and Height = 10m
Step-by-step explanation:
(i) Surface area of Cuboid =2(lb+bh+hl)
=2(13×10+10×8+8×13)
= 2(130+80+104)
=2(314)
=628cm^2
(ii) Surface area of Cuboid =2(lb+bh+hl)
1300=2(15×10+10×h+h×15)
1300=2(150+10h+15h)
1300= 300+20h+30h
1300-300= 50h
1000/50=h
h =20
(iii) Surface area of Cuboid = 2(lb+bh+hl)
5.5=550cm^2
550=2(1.5×b+b×50+50×1.5)
550=2(1.5b+50b+75)
550=3b+100b+150
550-150=103b
400=103b
b=3.8
(iv) Surface area of Cube = 6×(side)^2
600= 6×(a)^2
600/6= a^2
100=a^2
a = √100
a=10
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