Question

A tank which opens at the top is made of iron sheet 4 m wide. If the dimensions of the tank are $12m\times 8m\times 6m$, find the cost of iron sheet used at the rate of Rs 17.50 per meter.

Answer 1

Given,

Dimensions of tank = $12m\times 8m\times 6m$

Where,

length = 12 m

breadth = 8 m

height = 6 m

Area of sheet required for making the tank = Total surface area of tank with one top open

$=l\times b+2(l\times h+b\times h)=12\times 8+2(12\times 6+8\times 6)=96+240=336$ $m^2$

Let $l^{\prime }$ be the length of iron sheet and $b^{\prime }$ be the breadth of iron sheet.

$b^{\prime }=4m$

$l^{\prime }\times b^{\prime }=336$

$l^{\prime }=84m$

So, cost of iron sheet = $17.50\times 84=1470$ $Rs.$