Question

The length, breadth, and height of a room ae 6m, 5.4m and 4m respectively, then the area of its roof is $32.4{m^2}$
If true then enter 1 else 0

Answer 1

Hint: We are given that the length of the roof is 6m and the breadth of the roof is 5.4m. We know that the roof is rectangular in shape and is a two-dimensional shape. Hence, use the formula of area of a rectangle, which is the product of length and breadth, to find the area of the roof.

Complete step by step answer:

We are given that the length of the room is 6m, the breadth of the room is 5.4m and the height of the room is 4m.
We have to tell is the area of the roof is $32.4{m^2}$.
The room will have four boundary walls, a floor, and a roof.
The room is a 3-dimensional shape, which is a cuboid, whereas the roof is a 2-dimensional shape, that is the rectangle

The roof will be rectangular in shape.
We will find the area of the roof.
The length of the roof is 6m and the breadth of the roof is 5.4m
We know that the area of the roof is given by $l \times b$, where $l$ is the length and $b$ is the breadth of the rectangle.
Hence, the area of the roof is $6\left( {5.4} \right) = 32.4{m^2}$
Thus, the given statement is true.
Therefore, the value entered will be 1.

Note: Many students make mistakes by considering the roof as 3-dimensional space which is incorrect. The area of any shape is always measured in square units. Also, the formula of the area of the rectangle is length multiplied by its breadth.