Question

& A cubical box has each do 10 cm and another cuboidal box is 125 cm long, 10 cm wide and 8 cm high c) Which box has the greater lateral surface area and by how much? (0) Which box has the smaller total surface area and by how much?​

Answer 1

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long.10 wide and 8 cm high.

(i) Which box has the greater lateral surface area and by how much?

(ii) Which box has the smaller total surface area and by how much?

Answer

(i) Lateral surface area of cube = 4edge2

=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)cm2

(ii) Total surface area of cube = 6edge2

=6(10)2=600

lateral surface area of cuboid =2(lb+bh+hl)

2(12.5×10+10×8+8×12.5)=2(125+80+100)=610

So, the total surface area of cuboid is larger by (610−600=10) cm2

Step-by-step explanation:

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