Question

A cubical box has each edge 10 cm and another cuboidal box is 12.5cm long,10cm wide and 8cm
(i) which box has the greater lateral surface area and by how much

Answer 1

Hola

Answer -

Lateral surface area of cube is Area of the four sides excluding the top and base

Formula = 4a²

where a = side

Side = 10cm

Therefore,

LSA of Cubical box = 4×10²

= 4 × 100

= 400cm²

Lateral surface area of cuboid = 2h( l + b)

l = 12.5 cm,b = 10cm, h = 8 cm

Therefore,

2(8)[12.5 + 10]

16(22.5)

=> 172.5cm²

Therefore,

Area of cubical box is greater than cuboidal box by - 400 - 172.5

=> 227.5cm²


Hope it helps!