# Metric System Worksheet II

### Solutions

1Convert each measurement to square decimetres:

10.027 dam²

20.35 m²

3438 cm²

4 90,000 mm²

2Convert each measurement to square meters:

15 hm² 24 dam² 60 dm² 72 cm²

20.00351 km² + 4,700 cm²

30.058 hm² − 3.321 m²

3Convert each measurement to hectares:

1431,943 a

2586,500 m²

30.325 km²

47 km² 31 hm² 50 dam²

551 m² 33 dm² 70 cm²

4Calculate:

10.03598 km² + 96.45 ha + 3,000 a

2 179.72 m² − 0.831 dam²

352 dam² 31 m² 500 cm²

5Convert each measurement to cubic centimeters:

15.22 dm³

2 6,500 mm³

33.7 dl

425 cl

6Convert each measurement to liters:

113.2 m³

20.05 m³

33.9 dm³

4 7,700 cm³

7Convert each measurement to cubic meters:

1 7,200 dm³ + (3.5 m³ 4,600 dm³)

20.015 hm³ − (570 m³ 5.3 dm³)

## 1

Convert each measurement to square decimetres:

10.027 dam²

0.027 · 10,000 = 270 dm²

20.35 m²

0.35 · 100 = 35 dm²

3438 cm²

438 : 100 = 4.38 dm²

490,000 mm²

90,000 : 10,000= 9 dm²

## 2

Convert each measurement to square meters:

15 hm² 24 dam² 60 dm² 72 cm² =

= 50,000 m² + 2,400 m² + 0.60 m² + 0.0072 m² =

= 52,400.6072 m²

20.00351 km²+ 4,700 cm² =

= 3,510 m² + 0.47 m² = 3,510.47 m²

30.058 hm² − 3.321 m² =

= 580 m² − 3.321 m² = 576.679 m²

## 3

Convert each measurement to hectares:

1431,943 a

431,943 : 100 = 4,319.43 ha

2586,500 m²

586,500 : 10,000 = 58.65 hm² = 58.65 ha

30.325 km²

0.325 · 100 = 32.5 hm² = 32.5 ha

47 km² 31 hm² 50 dam²

7 · 100 + 31 + 50 : 100 = 731.5 hm²= 731.5 ha

551 m² 33 dm² 10 cm² =

51 : 10,000 + 33 : 1,000,000 + 10 : 100,000,000=

0.00513310 hm² = 0.00513310 ha

## 4

Calculate:

10.03598 km² + 96.45 ha + 5,000 a =

= 3.5698 hm² + 96.45 hm² + 50 hm² =

= 150.0198 hm² = 1 km²50 hm² 1 dam² 98 m²

2179.72 m² − 0.831 dam² =

=176.72 m² − 83.1 m² = 93.62 m² = 93 m² 62 dm²

352 dam² 31 m² 500 cm² =

= 5,200m² + 31 m² + 0.05 m² = 5,231.05 =

= 52 dam² 31 m² 5 dm²

## 5

Convert each measurement to cubic centimeters:

10.000005 hm³

0.000005 · 1,000,000 = 5 m³

2 52 dam³

52 · 1,000 = 52,000 m³

3 749 dm³

749 : 1,000 = 0.749 m³

4 450,000 cm³

450,000 : 1,000,000 = 0.45 m³

## 6

Convert each measurement to liters:

1 5.22 dm³ =

5.22 · 1,000 = 5,220 cm³

2 6,500 mm³

6,500 : 1,000 = 6.5 cm³

3 3.7 dl =

= 3.7 · l00 = 370 ml = 370 cm³

4 25 cl =

= 0.25 l = 0.25 dm³ = 250 cm³

## 7

Convert each measurement to cubic meters:

17,200 dm³ + (3.5 m³ 4,600 dm³) =

= 7.2 m³ + 3.5 m³ + 4.6 m³ = 15.3 m³

20.015 hm³ − (570 m³ 5.3 dm³ ) =

= 15,000 m³ − 570.0053 m³ = 14,429.9947 m³