A tank open at the top is made of iron sheet 4 m wide. If the dimensio

1.	A tank open at the top is made of iron sheet 4 m wide. If the dimensions of the tank are 12m × 8m × 6m, find the cost of iron sheet at Rs. 17.50 per metre.
Answer» Given details are, Dimensions of tank = 12m × 8m × 6m Where, length = 12m Breadth = 8m Height = 6m Area of sheet required = total surface area of tank with one top open = l × b + 2 (l×h + b×h) = 12 × 8 + 2 (12×6 + 8×6) = 96 + 240 = 336 m² Let length be l₁ Breadth be b₁ Given, b₁ = 4m l₁ × b₁ = 336 l₁ = 336/b₁ = 336/4 = 84m ∴ Cost of iron sheet at the rate of Rs 17.50 per metre = 17.50 × 84 = Rs 1470

A tank open at the top is made of iron sheet 4 m wide. If the dimensions of the tank are 12m × 8m × 6m, find the cost of iron sheet at Rs. 17.50 per metre.

Answer»

Given details are,

Dimensions of tank = 12m × 8m × 6m

Where, length = 12m

Breadth = 8m

Height = 6m

Area of sheet required = total surface area of tank with one top open

= l × b + 2 (l×h + b×h)

= 12 × 8 + 2 (12×6 + 8×6)

= 96 + 240

= 336 m²

Let length be l₁

Breadth be b₁

Given, b₁ = 4m

l₁ × b₁ = 336

l₁ = 336/b₁

= 336/4

= 84m

∴ Cost of iron sheet at the rate of Rs 17.50 per metre = 17.50 × 84 = Rs 1470