Calculations & Measurements

Question 1

Weight of water

Answer 1

Density = 1,0 g/cm³

1 L = 1 kg = 1 000 cm³ = 1 dm³

Question 2

How to calculate weight?

Answer 2

Volume * Density

Question 3

Metric weight = mass measurements

Answer 3

1 ton = 1 000 kg

1 kg = 1 000 g

Question 4

Metric length measurements (km - m - dm - cm - mm)

Answer 4

1km = 1 000m
1m = 10 dm = 100cm = 1 000mm
1dm = 10 cm = 100 mm
1cm = 10mm

Question 5

Metric area measurements (km² - m² - dm² - cm² - mm²)

Answer 5

1km² = 1 000 000 m²
1m² = 100 dm² = 10 000 cm² = 1 000 000 mm²
1dm² = 100 cm² = 10 000 mm² 
1cm² = 100 mm²

Question 6

Metric volume measurements (km³ - m³ - dm³ - cm³ - mm³)

Answer 6

1km³ = 1 000 000 000 m³
1m³ = 1 000 dm³ = 1 000 000 cm³ = 100 000 000 mm³
1 dm³ = 1 000 cm³
1cm³ = 1 000 mm³

Question 7

Fläche: Parallelogramm

Answer 7

a * h(a)

a… parallele seite
h(a)… höhe auf a

Question 8

Fläche: Dreieck

Answer 8

1/2 * c * h(c)

c… seite
h(c)… höhe von seite c

Question 9

Fläche: Kreis

Answer 9

π * r²

Question 10

Umfang: Kreis

Answer 10

2 * π * r

Question 11

π

Answer 11

3,14159

Question 12

Volumen: Pyramide

Answer 12

1/3 * a * b * h

a. .. Seite der Grundfläche
b. … Seite der Grundfläche
h. .. Höhe der Pyramide

Question 13

Volumen: Zylinder

Answer 13

π * r² * h

Question 14

Volumen: Kegel

Answer 14

1/3 * π * r² * h

Question 15

Volumen: Kugel

Answer 15

4/3 * π * r³