Question

a box made of sheet metal cost 60480 at rs 120 per square metre. if the box is 5 metre long and 3 m wide . find its height​

Answer 1

Answer:

★ Height = 29.62 m ★

Step-by-step explanation:

Given:

• Cost of metal sheet at Rs 120/m is 60480
• Length of box is 5m and Width is 3m

To Find:

• What is the height of the box?

Solution: Let the height of the box be x meter.

• We know that Area of metal sheet = Total Cost/Cost per m² •

$\small\implies{\sf }$ Area of metal sheet = 60480/120

$\small\implies{\sf }$Area of metal sheet = 504 m²

★ Area of box = 2(lb + bh + hl) ★

$\small\implies{\sf }$ 504 = 2 (5 x 3 + 3 x h + h x 5)

$\small\implies{\sf }$ 504 = 2 (15 + 3h + 5h)

$\small\implies{\sf }$ 504 = 2 (15 + 8h)

$\small\implies{\sf }$ 504 = 30 + 16h

$\small\implies{\sf }$ 504 – 30 = 16h

$\small\implies{\sf }$ 474 = 16h

$\small\implies{\sf }$ 474/16 = h

$\small\implies{\sf }$ 29.62 m = h

Hence, Height of the box = h = 29.62 m