Question

A wooden box of dimensions 50 cm x 27 cm x 70 cm has to be painted on all
sides leaving the bottom.
a) Find the cost of painting the box at the rate of Rs. 4.50 per cm2.
b) Calculate the number of cubical boxes of side 0.05 m that can be
placed inside the box.

Answer 1

Answer:

a) Cost of painting = Rs 60660

b) 756 small cubical boxes can fit inside the large wooden box.

Step-by-step explanation:

a) To find out the cost of painting the box, we first have to find out the surface area of the box and multiply it with the cost of painting per cm².

Surface area = 2lb + 2bh + 2lh

Surface area = 2*(50 cm * 27 cm) + 2*(27 cm * 70 cm) + 2*(50 cm * 70 cm)

Surface area = 2*1350 cm² + 2*1890 cm² + 2*3500 cm²

Surface area = 2700 cm² + 3780 cm² + 7000 cm²

Surface area = 13480 cm²

Cost of painting = Rs 4.5 per cm²

Cost of painting = Rs 4.5 * 13480 cm²

Cost of painting = Rs 60660

b) Volume of the small cubical box = S³

Volume of the small cubical box = 0.05³

Volume of the small cubical box = 0.000125 m³

Volume of the large wooden box = lbh

Volume of the large wooden box = 50 cm * 27 cm * 70 cm

Volume of the large wooden box = 94500 cm³

0.000125 m³ = 125 cm³

94500 cm³ / 125 cm³ = 756

Therefore, 756 small cubical boxes can fit inside the large wooden box.

Hope this helps you.