Question

A cubical box has each edge 10cm and another cuboidal box is 12.5cm long, 10cm wide and 8cm high.
• which box has the greatest lateral surface area and by how much?

•which box has smaller total surface area and by how much?


find by solving step-by-step ​

Answer 1

Answer:

Step-by-step explanation:

(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