If we have to find solution of questions related to cuboid, We have to learn the following formals:

If length = l, height = h and breath = b. Then,

(i) Volume = (l x b x h) cubic units

(ii) Surface area = 2 (lb + bh + lh) sq. units

(iii) Diagonal = √ l^2 + b^2 + h^2

We have following examples to practice with:

1. Find the volume of a cuboid of length 25 cm, breadth 20 cm and height 15 cm.

Solution: Length of the cuboid = 25 cm

Breadth of the cuboid = 20 cm

Height of the cuboid = 15 cm

Therefore, volume of the cuboid = length × breadth × height

= (25 × 20 × 15) cm³ = 7500 cm³

2. If the volume of a room is 396 m³ and the area of the floor is 66 m², find the height of the room.

Solution:

Volume of the room = 396 m³

Area of the floor (l × b) = 66 m²

Therefore, height of the room = (Volume of the room)/(area of the floor)

= 396 m³/ 66 m² = 6m

3. Find the length of the longest pole that can be placed in a room 12m long, 8m broad and 9m High.

Solution: We have length, breadth and height. We have to find out is diagonal.

Length of diagonal of the room

= √(12)^3 + (8)^3 + (9)^2

= √289

= 17m.

Note: for showing exponent or power on numbers we used ^ symbol. And this (√) symbol is used to show square root.

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