cubical box has each edge 10cm and another cuboidal box is 12.5cm long,10cm wide and 8cm high. Which box has the greater surface area and by how much?
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(i) Lateral surface area of cube = 4edge
2
=4(10)
2
=400
lateral surface area of cuboid =2h(l+b)
2×8(12.5+10)
=16×22.5
=360
So, the lateral surface area of the cube is larger by (400−360=40)cm
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It is given that there is a cubical box that has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. We have found that the cubical box has a greater lateral surface area by 40 cm^2 and the cubical box has a smaller total surface area by 10 cm^2
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