Question

Fill in the blanks the statements are true.
-------- surface area of room = area of 4 walls.

Answer 1

Hint: In this type of question we have to use the concept of mensuration. We know that mensuration is deals with length, volume, area of various kinds of shapes. Here as we consider the room and we know that, the room are in the cuboid shape. We know that a cuboid is a closed three dimensional geometrical figure bounded by six rectangular plane regions.

Complete step by step answer:
Now, we have to fill in the blanks for the statement,
----------- surface area of room = area of 4 walls.
We know that the rooms are cuboid in shape. We define cuboid as a closed three dimensional geometrical figure bounded by six rectangular plane regions.
Also we know that any face of a cuboid can be considered as the base of the cuboid and the four faces which are adjacent to the base are called the lateral faces of the cuboid.
Hence, when we are related with a room then the walls are considered as the lateral faces of the cuboid shaped room.
As we know, the sum of surface areas of all faces except the top and bottom face of a cuboid is defined as the lateral surface area of a cuboid. Hence, in the case of a cuboid shaped room we can say that the lateral surface area of the room is the sum of all four walls.
Thus, lateral surface area of room = area of 4 walls.

Note: In this type of question students have to remember the properties of cuboid. Students have to note that the cube and cuboid are totally different in nature. Also students have to remember the basic formulas such as lateral surface area, total surface area, volume etc. of different geometrical shapes.