Question

Find the volume of the hall with 15 m length, 9 m width and 10 m height

Answer 1

Required AnswEr:

• The required volume of the wall = 1350 m²

Given Information:

• Length of the hall is 15 m.
• Width of the hall is 9 m.
• Height of the hall is 10 m.

Need To Find Out:

• The required volume of the wall = ?

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━

$\underline{ \green\bigstar \bf \: Formula \: used \: here: - }$

$\underline{\boxed{\sf{ \red{Area \: of \: the \: cuboid = length \times breadth \times height}}}} \: \pink \bigstar$

$\underline{ \green\bigstar \bf \: Putting \: the \: values: -} \\ \\ : \implies \sf \: Area \: of \: the \: cuboid = 15 m\times 9 m\times 10m \\ \\ : \implies \sf \: Area \: of \: the \: cuboid = 15m \times 90m \\ \\ : \implies \sf Area \: of \: the \: cuboid = \: \boxed{ \bf \: 1350\:m^2} \: \pink\bigstar$

$\therefore \underline {\sf \purple{\: The\: required\: volume\: of \: the \: wall = \underline\bold{ \red{1350\:m^2}}}}$

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Answer:

A hall is 15 m long and 12 m broad. If the sum of the area of the floor and ceiling is equal to the sum of area of the four walls, what will be the volume of the hall?

Visualize programming and data structures with animated videos!

It's 1200 m³

Let's see how it happens,

First of all we need to know the basic formulas of Rectangle (because here the two sides are different, so definitely it will not be a Square)

Area of Rectangle = l*b

Volume of rectangular prism = l*b*h

Note:

Square(2- dimension) = Cube(3-dimention)

Rectangle (2-dimension) = Rectangular Prism(3- dimension)

In the given question, L = 15, B = 12

So, Area = l*b = 15*12 = 180 m²

Now, here we had calculated the area for Floor of the Hall & we know that area of both Floor and Ceiling in a hall will be equal, which means

Area of Floor = Area of Ceiling = 180m²

Hence, Sum of their area = 180+180 = 360m²

In the question, also they had mentioned that Sum of the area of Floor and Ceiling is equal to the sum of the area of four walls in a Hall.

Note:

Square = 4 sides are equal

Rectangle = only 2 opposite sides are equal

In case of 3-dimension,

If the hall is in Cube shape, the area of all the 4 walls will be equal. But, here we know that the hall is in Rectangular Prism shape, so only area of 2 opposite walls will be equal.

Area of two walls = 15*b + 15*b = 30b

Area of other two walls = 12*b + 12*b = 24b

Hence,

Their Sum = 30b + 24b = 54b

360 = 54b which means b = 360/54 = 20/3

Here, the breadth of the walls is equal to the height of the rectangular prism (Hall)

Hence,

Volume of Hall = l*b*h = 15*12*(20/3) = 1200 m³

Hope you guys understand my explanation!!!