A cubical box with lid has a length of 30 cm. Find the cost of painting the inside and outside of the box at ₹ 5.50 per m square.
Answers
Answer:
Rs 5.94
Step-by-step explanation:
Given :
Length of cubical box with lid = 30cm
To Find :
Cost of painting the inside and outside of the box at Rs 5.50 per m²
Solution :
We have to find the surface area of the cubical box.
Surface area of the cube = 6a²
=> 6 x 30 x 30
=> 5400 cm²
According to question the cubical box has to be painted both from the outside and inside.
So, Total surface area of cube = Inner surface area + outer surface area
=> 5400 + 5400
=> 10800 cm²
Converting cm² into m²
Surface area in m² = 10800/10000
Surface area in m² = 1.08 m²
Cost of painting the cubical box = Rs. 5.50 m²
Total cost of painting = 5.5 × 1.08
Total cost = Rs. 5.94
Thus, the total cost of painting the cubical box from outside and inside is Rs. 5.94
Answer:
We have to find the surface area of the cubical box.
Surface area of the cube = 6a² where a = 30 cm
⇒ 6*30*30
⇒ 5400 sq cm
As the cubical box has to be painted both from the outside and inside.
So, the total surface area = Inner surface area + outer surface area
⇒ 5400 + 5400
= 10800 sq cm
As we know that 1 sq m = 10000 sq cm
Surface area in sq m = 10800/10000
Surface area in sq m = 1.08 sq m
Cost of painting the cubical box = Rs. 5.50 per sq m
Total cost of painting = 5.5*1.08
Total cost = Rs. 5.94
So, the total cost of painting the cubical box from outside and inside is 5.94