Question

A model of a tower is made to a scale of 1 cm to 0.5 m. If the height of the tower on the model is 84 cm, find the height of the tower on another model made to a scale of 1 cm to 2 m.​

Answer 1

Answer:

The height of the building is 24 m

Question (ii):

Convert cm to m (actual)

1 cm = 30 cm

1 cm = 0.3 m

Find 1 m (actual):

0,3 m = 1 cm

1m = 10.3= 10/3 cm

Find 1 m³:

1m = 10/3 cm

(1m)³ = (10/3 cm) ³

1 m³ = 1000/27 cm²

Find 27 m³:

27 m³ = 1000/27 x 27 = 1000 cm³

Convert 1000 cm³ to litres:

1 cm³ = 0.001 litres

1000 cm³ = 0.001 x 1000

1000 cm³= 1 litres

Answer: The volume is 1 litres

Answer 2

Answer:

The height of the building is 24 m

Question (ii):

Convert cm to m (actual)

1 cm = 30 cm

1 cm = 0.3 m

Find 1 m (actual):

0,3 m = 1 cm

1m = 10.3= 10/3 cm

Find 1 m³:

1m = 10/3 cm

(1m)³ = (10/3 cm) ³

1 m³ = 1000/27 cm²

Find 27 m³:

27 m³ = 1000/27 x 27 = 1000 cm³

Convert 1000 cm³ to litres:

1 cm³ = 0.001 litres

1000 cm³ = 0.001 x 1000

1000 cm³= 1 litres

Answer: The volume is 1 litres