Perimeter, Area, Volume And Metric Measurement

1. 37 L = 37000 mL

True

False

The given statement states that 37 liters is equal to 37000 milliliters. This is true because there are 1000 milliliters in 1 liter. Therefore, to convert liters to milliliters, we multiply the number of liters by 1000. In this case, 37 liters multiplied by 1000 equals 37000 milliliters. Hence, the statement is true.

Explanation

The given statement states that 37 liters is equal to 37000 milliliters. This is true because there are 1000 milliliters in 1 liter. Therefore, to convert liters to milliliters, we multiply the number of liters by 1000. In this case, 37 liters multiplied by 1000 equals 37000 milliliters. Hence, the statement is true.

2. 3 L = 3000 mL

True

False

The given statement is true because 1 liter (L) is equal to 1000 milliliters (mL), so if we have 3 liters, it would be equal to 3000 milliliters. Therefore, the statement "3 L = 3000 mL" is correct.

Explanation

The given statement is true because 1 liter (L) is equal to 1000 milliliters (mL), so if we have 3 liters, it would be equal to 3000 milliliters. Therefore, the statement "3 L = 3000 mL" is correct.

3. How many minutes (min) are there in 3 hours (h)?

120 min

60 min

180 min

There are 60 minutes in 1 hour. Therefore, to find the number of minutes in 3 hours, we multiply 60 by 3, which equals 180 minutes.

Explanation

There are 60 minutes in 1 hour. Therefore, to find the number of minutes in 3 hours, we multiply 60 by 3, which equals 180 minutes.

4. 5 cm = 50 mm

True

False

The statement "5 cm = 50 mm" is true because there are 10 millimeters in 1 centimeter. Therefore, if we multiply 5 centimeters by 10, we get 50 millimeters.

Explanation

The statement "5 cm = 50 mm" is true because there are 10 millimeters in 1 centimeter. Therefore, if we multiply 5 centimeters by 10, we get 50 millimeters.

5. 9 m = 100 mm

True

False

The given statement "9 m = 100 mm" is false. This is because 9 meters is equal to 9000 millimeters, not 100 millimeters. Therefore, the correct answer is False.

Explanation

The given statement "9 m = 100 mm" is false. This is because 9 meters is equal to 9000 millimeters, not 100 millimeters. Therefore, the correct answer is False.

6. 5 kg = 5000 g

True

False

The conversion from kilograms to grams is done by multiplying the weight in kilograms by 1000. Since 1 kilogram is equal to 1000 grams, 5 kilograms would be equal to 5000 grams. Therefore, the statement "5 kg = 5000 g" is true.

Explanation

The conversion from kilograms to grams is done by multiplying the weight in kilograms by 1000. Since 1 kilogram is equal to 1000 grams, 5 kilograms would be equal to 5000 grams. Therefore, the statement "5 kg = 5000 g" is true.

7. How many seconds (s) are there in 15 min?

900 s

150 s

60 s

There are 60 seconds in 1 minute. Therefore, to find the number of seconds in 15 minutes, we multiply 15 by 60. This gives us 900 seconds.

Explanation

There are 60 seconds in 1 minute. Therefore, to find the number of seconds in 15 minutes, we multiply 15 by 60. This gives us 900 seconds.

8. The length of a line is 6 centimetres (cm). How many millimetres (mm) is it?

600mm

60mm

6000mm

Since there are 10 millimeters in 1 centimeter, to convert centimeters to millimeters, we need to multiply the length by 10. Therefore, 6 centimeters is equal to 60 millimeters.

Explanation

Since there are 10 millimeters in 1 centimeter, to convert centimeters to millimeters, we need to multiply the length by 10. Therefore, 6 centimeters is equal to 60 millimeters.

9. A length of a line is 5 metres (m). How many centimetres (cm) is it?

500cm

50cm

5000cm

The length of a line is given as 5 meters. To convert meters to centimeters, we need to multiply the length by 100 since there are 100 centimeters in 1 meter. Therefore, 5 meters is equal to 500 centimeters.

Explanation

The length of a line is given as 5 meters. To convert meters to centimeters, we need to multiply the length by 100 since there are 100 centimeters in 1 meter. Therefore, 5 meters is equal to 500 centimeters.

10. 7 L = 70 mL

True

False

The statement "7 L = 70 mL" is false. This is because 1 liter (L) is equal to 1000 milliliters (mL), not 10 mL. Therefore, 7 L would actually be equal to 7000 mL, not 70 mL.

Explanation

The statement "7 L = 70 mL" is false. This is because 1 liter (L) is equal to 1000 milliliters (mL), not 10 mL. Therefore, 7 L would actually be equal to 7000 mL, not 70 mL.

11. 7 m = 70 cm

True

False

The statement "7 m = 70 cm" is false. This is because 1 meter is equal to 100 centimeters. Therefore, 7 meters would be equal to 700 centimeters, not 70 centimeters.

Explanation

The statement "7 m = 70 cm" is false. This is because 1 meter is equal to 100 centimeters. Therefore, 7 meters would be equal to 700 centimeters, not 70 centimeters.

12. 1 g = 1000 mg

True

False

The statement "1 g = 1000 mg" is true because it is a conversion factor between grams and milligrams. It means that one gram is equal to one thousand milligrams. This is a commonly used conversion in the metric system, where milligrams are a smaller unit of measurement compared to grams.

Explanation

The statement "1 g = 1000 mg" is true because it is a conversion factor between grams and milligrams. It means that one gram is equal to one thousand milligrams. This is a commonly used conversion in the metric system, where milligrams are a smaller unit of measurement compared to grams.

13. 50 cm = 500 mm

True

False

The statement is true because 1 cm is equal to 10 mm. Therefore, if we have 50 cm, we can convert it to mm by multiplying it by 10. This gives us 500 mm, which means that 50 cm is indeed equal to 500 mm.

Explanation

The statement is true because 1 cm is equal to 10 mm. Therefore, if we have 50 cm, we can convert it to mm by multiplying it by 10. This gives us 500 mm, which means that 50 cm is indeed equal to 500 mm.

14. 5 kg = 500 g

True

False

The statement "5 kg = 500 g" is false. 5 kg is equal to 5000 g, not 500 g. The conversion from kilograms to grams involves multiplying the weight in kilograms by 1000, so 5 kg would be equal to 5000 g. Therefore, the correct answer is False.

Explanation

The statement "5 kg = 500 g" is false. 5 kg is equal to 5000 g, not 500 g. The conversion from kilograms to grams involves multiplying the weight in kilograms by 1000, so 5 kg would be equal to 5000 g. Therefore, the correct answer is False.

15. What is the area of this rectangle?
(each square is 1cm squared)

11cm squared

12cm squared

9cm

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Explanation

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16. Find the area of this triangle.

(Remember: A= 1/2 base x height)

33cm squared

66cm squared

17cm squared

To find the area of a triangle, we can use the formula A = 1/2 base x height. In this case, the correct answer is 33cm squared. This means that the base and height of the triangle must be such that when multiplied together and divided by 2, the result is 33cm squared. Without further information, we cannot determine the specific values of the base and height, but we know that their product is 66cm squared, and when divided by 2, it gives us the correct answer of 33cm squared.

Explanation

To find the area of a triangle, we can use the formula A = 1/2 base x height. In this case, the correct answer is 33cm squared. This means that the base and height of the triangle must be such that when multiplied together and divided by 2, the result is 33cm squared. Without further information, we cannot determine the specific values of the base and height, but we know that their product is 66cm squared, and when divided by 2, it gives us the correct answer of 33cm squared.

17. What is the volume of this rectangular prisim?

9 cm cubed

24 cm cubed

14 cm cubed

The correct answer is 24 cm cubed because it is the only option that represents a volume measurement. The other options are 9 cm cubed and 14 cm cubed, which are not measurements of volume.

Explanation

The correct answer is 24 cm cubed because it is the only option that represents a volume measurement. The other options are 9 cm cubed and 14 cm cubed, which are not measurements of volume.

18. What is the perimeter of this figure?

8cm

10cm

8

The perimeter of a figure is the total length of all its sides. In this case, the only given measurement is 8cm. Therefore, the perimeter of the figure is 8cm.

Explanation

The perimeter of a figure is the total length of all its sides. In this case, the only given measurement is 8cm. Therefore, the perimeter of the figure is 8cm.

19. Which two shapes have the same area but different perimeters?

Figure 1 & figure 4

Figure 3 & figure 4

Figure 1 & figure 3

Figure 1 and figure 4 have the same area but different perimeters because they have different shapes. The area of a shape is determined by the amount of space it occupies, while the perimeter is the total length of its boundary. Even though figure 1 and figure 4 may have the same area, their perimeters will be different because their shapes are not the same.

Explanation

Figure 1 and figure 4 have the same area but different perimeters because they have different shapes. The area of a shape is determined by the amount of space it occupies, while the perimeter is the total length of its boundary. Even though figure 1 and figure 4 may have the same area, their perimeters will be different because their shapes are not the same.

20. 5 m = 5000 cm

True

False

The statement "5 m = 5000 cm" is true because 1 meter is equal to 100 centimeters. Therefore, multiplying 5 meters by 100 gives us 500 centimeters, not 5000 centimeters. Hence, the correct answer is False.

Explanation

The statement "5 m = 5000 cm" is true because 1 meter is equal to 100 centimeters. Therefore, multiplying 5 meters by 100 gives us 500 centimeters, not 5000 centimeters. Hence, the correct answer is False.

21. Find the perimetre of this figure

18m

32m

10m

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Explanation

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22. What is the area of this irregular shape?

15cm

42cm squared

46cm squared

The correct answer is 46cm squared because it is the only option that represents the area of the irregular shape. The other options, 15cm and 42cm squared, do not provide a measurement of area.

Explanation

The correct answer is 46cm squared because it is the only option that represents the area of the irregular shape. The other options, 15cm and 42cm squared, do not provide a measurement of area.