Question

The length, breadth and height of a wooden box are 1 m, 20 cm and 50 mm respectively. Find the volume of box in SI units.​

Answer 1

Provided that:

• Length = 1 m
• Breadth = 20 cm
• Height = 50 mm

To calculate:

• Volume in SI unit

Solution:

• Volume in SI unit = 0.01 m³

Knowledge required:

• SI unit of volume = m³

Using concepts:

• Formula to convert cm-m
• Formula to convert mm-m
• Volume formula

Using formulas:

✡️ Formula to convert cm-m:

• 1 cm = 1/100 m

✡️ Formula to convert mm-m:

• 1 mm = 1/1000 m

✡️ Formula to calculate volume:

• V = lbh

Required solution:

✴️ Firstly let us convert centimetres into metres by using suitable formula!

↦ 1 m = 100 cm

↦ 1 cm = 1/100 m

↦ 20 cm = 20/100 m

↦ 20 cm = 2/10 m

↦ 20 cm = 0.2 metres

• Henceforth, converted!!!

✴️ Now let us convert millimetres into metres by using suitable formula!

↦ 1 m = 1000 mm

↦ 1 mm = 1/1000 m

↦ 50 mm = 50/1000 m

↦ 50 mm = 5/100 m

↦ 50 mm = 0.05 m

• Henceforth, converted!!!

✴️ Now let us calculate the volume by using suitable formula!

↦ Volume = lbh

↦ Volume = 1 × 0.2 × 0.05

↦ Volume = 0.2 × 0.05

↦ Volume = 0.01 m cube $\:$