Question

a cubical box has each edge l0 cm and another cuboidal box is
$12.5cm$
long , l0 cm wide and 8cm 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 this in detail pls
​

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