Step 2: Find the number of layers. This is the same as the height in cm.
Height = 3 cubes
Step 3: Multiply the result from step 1 with the height to get the total number of cm cubes
48 × 3 = 144 cubes
Volume of the box is 144 cu. cm
Cube per layer × Number of layers = Volume
↓ ↓
length × breadth × height = Volume
8 cm × 6 cm × 3 cm = 144 cm3
Volume = length × breadth × height ← Formula for volume
Examples
(a) Find the volume of this cuboid or rectangular solid.
Volume = l × b × h
= 5 cm × 2 cm × 4 cm = 40 cm3
(b) A cube is special cuboid with all sides equal. Find the volume of this cube.
Volume = side × side × side
= 3 cm × 3 cm × 3 cm
= 27 cu. cm.
(c) Find the height of a box with volume 84 cu. cm, if the length and breadth are 4 cm and 3 cm, respectively.
Length = 4 cm, breadth = 3 cm, volume = 84 cu. cm, height = ?
volume = l × b × h
h = v/l × b
h = 84/4 × 3 = 84/12 = 7
h = 7 cm
Check: 4 cm × 3 cm × 7 cm = 84 cu. cm
(d) l = o.5 m, b = 15 cm, h = 9 cm, V = ?
Change m to cm.
0.5 m = 50 cm
Volume = 50 cm × 15 cm × 9 cm = 6750 cu. cm