Question

A scale model of a sculpture has a scale of 3 : 71.
The height of the model is 21 cm.
Find the height of the actual sculpture.
Give your answer in m.

Answer 1

Answer:

• The height of the actual sculpture is 5 m.

Step-by-step explanation:

Given that:

• A scale model of a sculpture has a scale of 3 : 71.
• The height of the model is 21 cm.

To Find:

• The height of the actual sculpture.

Let us assume:

• The height of the actual sculpture be x.

Finding the height of the actual sculpture:

• According to the question.

⇒ (21 cm)/x = 3/71

• Cross multiplication.

⇒ 3(x) = 71(21 cm)

⇒ 3x = 1491 cm

⇒ 3 × x = 3 × 497 cm

• 3 cancelled both sides.

⇒ x = 497 cm

∴ The height of the actual sculpture = 497 cm

Converting the height of sculpture in metre:

• 100 cm = 1 m
• 1 cm = 1/100 m
• 497 cm = 497/100 m
• 497 cm = 4.97 m ≈ 5 m

Answer 2

APPROX 5 Meter

___________________

Scale-3:71

Height-21 cm

____________________

(21 cm)÷x = 3/71

3(x) = 71(21 cm)

3x = 1491 cm

3 × x = 3 x 497 cm

x = 497 cm

height of the actual sculpture

497 cm

____________________

Converting in meter

100cm-1m

1 cm- 1÷100

497 m ÷ 100

497cm =4.97m

APROX= 5M