Question

A tank is 45 m long, 15 m wide and 13 m deep. What is the cost of plastering its
walls and bottom at the rate of 80 paise per sq.m​

Answer 1

Answer:

The cost of plastering the walls and bottom is 1788 Rupees

Step-by-step explanation:

Given, the dimensions of the tank:

Length = 45 m, breadth = 15 m, height = 13 m

Total surface area of walls and bottom surface = 2(bh+lh) +lb

           = 2[(45×13)  + (15×13)] + 45×15

           = 2(585+195) + 675

           = 2× 780 + 675

           = 1560+675

           = 2235 m²

Cost of plastering per sq.m = 80 paise

Cost of plastering 2235 m² = 80× 2235 = 178800 paise

                                            = Rs 1788

The cost of plastering the walls and bottom is  Rs 1788

Answer 2

The cost of plastering its walls and bottom at the rate of 80 paise per sq.m​ is Rs. 1788.

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Let's understand a few concepts:

To solve the given problem we will use the following formulas:

$\boxed{\bold{Area \:of\:4\:walls = 2h(l + b) }}$

$\boxed{\bold{Area \:of \:rectangle = l \times b}}$

where l = length, b = breadth and h = height

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Let's solve the given problem:

The dimensions of the cuboidal tank:

Length (l) = 45 m

Breadth (b) = 15 m

Depth/Height (h) = 13 m

Finding the area of 4 walls of the tank:

∴ The area of 4 walls of the tank is,

= Area of 4 walls

= $2h(l+b)$

= $2\times 13\times (45 + 15)$

= $2\times 13\times 60$

= $1560\:m^2$

Finding the area of the bottom of the tank:

∴ The area of the bottom of the tank is,

= Area of a rectangle

= $l \times b$

= $45 \times 15$

= $675\:m^2$

Finding the area of walls and bottom of the tank:

∴ The area of the 4 walls and the bottom of the cuboidal tank is,

= [Area of 4 walls] + [Area of the bottom]

= $1560\:m^2 + 675\:m^2$

= $2235\:m^2$

Finding the cost of plastering the walls + bottom of the tank:

If the cost of plastering 1 m² of walls + bottom = Rs. 0.80 . . . [since 1 rupee = 100 paise ∴ 80 paise = Rs. 0.80]

Then,

The cost of plastering 2235 m² of walls + bottom at the same rate will be,

= $Rs. \:0.80/m^2\times 2235\:m^2$

= $\bold{Rs. 1788}$

Thus, the cost of plastering the walls and bottom of the tank at the rate of 80 paise per sq. m​ is Rs. 1788.

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