A cubical box with lid has a length of 30cm. Find the cost of painting the inside and outside of the box at Rs 5.50 per square metre.

Given:

A cubical box with lid has a length of 30cm.

To Do: 

Find the cost of painting the inside and outside of the box at Rs 5.50 per square metre.  

Solution:  

Length of box (a) = 30 cm

1 cm = $\frac{1}{100}$ m

30 cm = $\frac{30}{100} = \frac{3}{10}$ = 0.3 m

Painting is done inside and also outside of the box.

So, find the total surface area of the box inside and outside,

Total surface area of cube = $6 (a)^2$

Total surface area of box inside and outside = $2 \times 6 (a)^2$

$2 \times  6 (a)^2 =  12 (0.3)^2$

$12 \times  0.09  =  1.08 sq m$

Cost of  painting per sq meter = 5.50 ₹

Cost of  painting 1.08 sq meter = $5.50 \times  1.08 = 5.94$ ₹

Cost of painting the box inside and outside = 5.94 ₹

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Updated on: 10-Oct-2022

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