Mass or weight is the measurement of the physical quantity. Mass is the measure of the amount of matter contained in a body. Weight is the force on the object due to gravity. The SI unit of mass is Kilogram (Kg). The SI unit of weight is Newton (N). The kilogram is used to measure the heavyweight object and grams are used to measure low-weight objects. Here are some examples of mass or weight units that help the students score good marks in the exams. We have provided Questions and Answers on units of mass or weight.

**Do Refer:**

- Units of Mass and Weight Conversion Chart
- Measuring Mass
- Conversion of Measuring Mass
- Word Problems on Measuring Mass

## Unit of Mass or Weight Problems

**Example 1.**

Convert 5 kgs to grams.

**Solution:**

We have to convert the given mass from kilograms to grams.

1 kg = 1000 grams

5 kg = 5 × 1000 grams = 5000 grams

Thus 5 kg = 5000 grams

**Example 2.**

Convert the following into kilograms

i. 5000g

ii. 7500g

iii. 15000g

**Solution:**

**i. 5000g**

Convert from grams to kilograms

1 kg = 1000 grams

1000 grams = 1 kg

5000 grams = 5 × 1000 g = 5 kg

Thus 5000 grams = 5 kg

**ii. 7500g**

Convert from grams to kilograms

1 kg = 1000 grams

1000 grams = 1 kg

7500 grams = 7 × 1000g = 7000g + 500g = 7500g = 7.5 grams

Thus 7500 grams = 7.5 grams

**iii. 15000g**

Convert from grams to kilograms

1 kg = 1000 grams

1000 grams = 1 kg

15000 grams = 15 × 1000 grams = 15 kg

Thus 15000 grams = 15 kg

**Example 3.**

Find the weight of an object if the mass is 1 kg and the acceleration of gravity is 9.8m/s².

**Solution:**

Given,

mass is 1 kg and the acceleration of gravity is 9.8m/s².

The formula to find the weight of an object is

w = mg

w = 1 kg × 9.8m/s²

Therefore the weight of an object is 1 kg × 9.8m/s²

**Example 4.**

Convert the following into quintals.

i. 7500kg

ii. 12000kg

iii. 560kg

**Solution:**

**i. 7500kg**

We have to convert from kilograms to quintals.

1 quintal = 100 kg or

100 kg = 1 quintal

7500 kg = 75 × 100 = 75 quintals

**ii. 12000kg**

We have to convert from kilograms to quintals.

1 quintal = 100 kg or

100 kg = 1 quintal

12000 kg = 120 × 100 = 120 quintal

**iii. 560kg**

We have to convert from kilograms to quintals.

1 quintal = 100 kg or

100 kg = 1 quintal

560 kg = 5.6 quintal

**Example 5.**

Find the weight of an object if the mass is 5 kg and the acceleration of gravity is 9.8m/s².

**Solution:**

Given,

mass is 5 kg and the acceleration of gravity is 9.8m/s².

The formula to find the weight of an object is

w = mg

w = 5 kg × 9.8m/s²

Therefore the weight of an object is 5 kg × 9.8m/s²

**Example 6.**

Vinisha is 10kg less than Vinal who weighs 75kg 560g. What is the actual weight of Vinisha?

**Solution:**

Given,

Vinisha is 10kg less than Vinal who weighs 75kg 560g.

75 kg 560 grams

-10kg 000 grams

65 kg 560 grams

Therefore, the actual weight of Vinisha is 65 kg 560 grams.

**Example 7.**

Convert the following into grams.

i. 7 kg

ii. 9.5kg

iii. 12.75 kg

**Solution:**

**i. 7 kg**

We have to convert the given mass from kilograms to grams.

1 kg = 1000 grams

7 kg = 7 × 1000 grams = 7000 grams

Therefore 7kg = 7000 grams

**ii. 9.5kg**

We have to convert the given mass from kilograms to grams.

1 kg = 1000 grams

9 kg = 9 × 1000 grams = 9000 grams

9000g + 500 g = 9500 grams

Thus 9 kg = 9500 grams

**iii. 12.75 kg**

We have to convert the given mass from kilograms to grams.

1 kg = 1000 grams

12 kg = 12 × 1000 grams = 12,000 grams

0.75 kg = 750 grams

12000 grams + 750 grams = 12750 grams

Therefore 12.75 kg = 12750 grams

**Example 8.**

The cost of 1 kg grapes is $15.00. What is the cost of 2kg grapes?

**Solution:**

Given,

The cost of 1 kg grapes is $15.00.

2 kg = 2 × $15 = $30.00

Thus the cost of 2 kg grapes is $30.

**Example 9.**

Convert the following into metric tons.

i. 1000 quintal

ii. 50 quintal

iii. 250 quintal

**Solution:**

**i. 1000 quintal**

We have to convert quintal to metric ton.

1 metric ton = 10 quintal = 10 × 100 kg = 1000 kg

1000 quintal = 1000 × 100 kg = 100000 kg = 100 metric tons

Therefore 1000 quintal = 100 metric tons

**ii. 50 quintal**

We have to convert quintal to metric ton.

1 metric ton = 10 quintal = 10 × 100 kg = 1000 kg

10 quintal = 1 metric ton

50 quintal = 5 ×10quintal

= 5 × 1 metric ton

= 5 metric tons

Thus 50 quintal = 5 metric tons.

**iii. 250 quintal**

We have to convert quintal to metric ton.

1 metric ton = 10 quintal = 10 × 100 kg = 1000 kg

10 quintal = 1 metric ton

250 quintal = 25 ×10 quintal

= 25 × 1 metric ton

= 25 metric tons

Thus 250 quintal = 25 metric tons.

**Example 10.**

Convert the following

i. 4 kg = _____g

ii. 7.5kg = ____g

iii. 12 quintal = _____kg

iv. 100 quintal = _____ metric ton

v. 1200 grams = ____kg

**Solution:**

**i. 4 kg = _____g**

We have to convert the given mass from kilograms to grams.

1 kg = 1000 grams

4 kg = 4 × 1000 grams = 4,000 grams

Thus 4 kg = 4000g

**ii. 7.5kg = ____g**

We have to convert the given mass from kilograms to grams.

1 kg = 1000 grams

7 kg = 7 × 1000 grams = 7,000 grams

0.5 kg = 500 grams

7000g + 500g = 7500 grams

Thus 7.5 kg = 7500 grams

**iii. 12 quintal = _____kg**

We have to convert from quintal to kg.

1 quintal = 100 kg

12 quintal = 12 × 100 kg = 1200 kg

Therefore 12 quintal = 1200 kg

**iv. 100 quintal = _____ metric ton**

We have to convert quintal to metric ton.

1 metric ton = 10 quintal = 10 × 100 kg = 1000 kg

100 quintal = 100 × 100 kg = 10000 kg

Thus 100 quintal = 10 metric ton

**v. 1200 grams = ____kg**

Convert from grams to kilograms

1 kg = 1000 grams

1 gram = 1/1000 kg

1200 grams = 1.2 kg