Question

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long. 10 cm wide and 8 cm high.
1 } Which box has the greater lateral surface area and by how much ?
2 } Which box has the smaller total surface area and by how much ?

[ I will mark as brainlist if the answer is correct ]

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Answer 1

Answer:

1.second cuboid is greater lateral surface area.

first cuboid is smaller

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Answer 2

Answer:

(i) 360

(i) 360(ii) 610

Step-by-step explanation:

(i) Answer :- Lateral surface area of cube = 4edge²

=4(10)²

=400

lateral surface area of cuboid =2 h ( 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) Answer :- 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