Question

The length of the side of a cubical box is 10 cm. There is another cuboidal box with
its length, breadth and height being 12.5 cm, 10 cm and 8 cm respectively,
(1) Which box has more lateral surface area and by how much is it more?
(ii) Which box has less total surface area and how much less?​

Answer 1

Answer:

610

Step-by-step explanation:

Answer

(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

2

(ii) Total surface area of cube = 6edge

2

=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) cm

2