A tank with rectangular base and rectang...

A tank with rectangular base and rectangular side, open at the top is to be constructed so that its depth is 2m and volume is `8m^(3)`. If building of tank costs Rs. 70 per sq metres for the base and Rs. 45 per square metre for sides. What is the cost of least expensive tank ?

Text Solution

Verified by Experts

The correct Answer is:

1000

Topper's Solved these Questions

MAXIMA AND MINIMA
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|74 Videos
MAXIMA AND MINIMA
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos
MAXIMA AND MINIMA
AAKASH SERIES|Exercise Exercise - 8.2 (Long Answer Questions)|36 Videos
MAXIMA & MINIMA
AAKASH SERIES|Exercise EXERCISE-III|35 Videos
MEAN VALUE THEOREMS
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

An open tank is to be constructed with a square base and vertical sides to hold a given capacity of water . The expense of lining the tank with lead is least when the ratio of the depth and the width is

Around a rectangular park of sides 80m and 60m a wire has to be arranged. The cost of the wire is 25 per meter. What isthe total cost of the wire ?

Find the perimeter: Around a rectangular park of sides 100m and 70m a wire has to be put. the cost of the wire is ₹20 per meter. what is the total cost of the wire?

Find the cost of fencing a square park of side 250 m at the rate of Rs. 20 per meter.

Find the perimeter of the following: Around a rectangular park of sides 100 meter and 90 meters a wire has to be put. The cost of the wire is Rs 10 per meter. What is the total cost of the wire?

The dimensions of a rectangular field are 90 m and 60 m. Two roads are constructed such that they cut each other at the centre of the field and are parallel to its sides. If the width of each road is 3 m, find (i) The area covered by the roads. (ii) The cost of constructing the roads at the rate of 110 per m^(2) .

The height of a tent is 9m. Its base diameter is 24m. What is its slant height? Find the cost of canvas cloth required if it costs rupes 14 per sq.m.

AAKASH SERIES-MAXIMA AND MINIMA -Advanced Subjective Type Questions

Show that semi-vertical angle fo right circular cone of given surface ...
Text Solution
|
A wire of length 'a' is cut into two parts which are bent in the form ...
Text Solution
|
An open top box of maximum possible volume from a square piece of tin ...
Text Solution
|
The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...
Text Solution
|
A car starts from a point P at time t = 0 seconds and stops at point Q...
Text Solution
|
A water tank has the shape of an inverted right circular cone with its...
Text Solution
|
A tank with rectangular base and rectangular side, open at the top is ...
Text Solution
|
If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...
Text Solution
|
If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...
Text Solution
|
If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...
Text Solution
|
Let f(x) = {(" "x e^(a x), x le 0),(x + a x^(2) - x^(3) , x ...
Text Solution
|
Find the intervals in which f(x) = int(0)^(x){e^(t) - 1)(t+1)(t-2)(t+4...
Text Solution
|
A point on the hypotenuse of a triangle is at distance a and b from th...
Text Solution
|
Let f, g, h be real valued functions defined on the interval [0, 1] by...
Text Solution
|
Find the equation of tangents to the curve y = cos(x+y), -2pi le x le ...
Text Solution
|
If f(x) = int(x)^(x^(2)) (t-1)dt, 1 le x le 2, find the greatest value...
Text Solution
|
Find intervals in which the function given by f(x) = (3)/(10)x^(4) - (...
Text Solution
|
Show that the function f given by f(x) = tan^(-1)(sin x + cos x), x gt...
Text Solution
|
Show that t height of the cylinder of greatest volume which can be ins...
Text Solution
|
Let f(x) = (1+b^(2))x^(2) + 2bx + 1 and let m (b) be the minimum value...
Text Solution
|