Question

The scale on a drawing is 3:1. Which statement is true? Select two answers that apply.

(please say both of the answers)
A.
The scale drawing is three times the size of the actual object.

B.
The scale drawing is 31 times the size of the actual object.

C.
The scale drawing is one-third the size of the actual object.

D.
If the actual object is 2 cm long, the scale drawing will be 6 cm long.

E.
If the actual object is 6 cm long, the scale drawing will be 6 cm long.

F.
If the actual object is 6 cm long, the scale drawing will be 2 cm long.

Answer 1

A.

The scale drawing is three times the size of the actual object.

D.

If the actual object is 2 cm long, the scale drawing will be 6 cm long.

Explanation:

The scale on a drawing is 3:1. This means that a feature in the drawing is 3 times the size of the feature in the actual object. For example:

If a feature on the actual object is 3 cm, the feature on the drawing will be 3*3 = 9 cm.

Similarly, If a feature on the actual object is 2 cm, the feature on the drawing will be 2*3 = 6 cm.

So among the given options, the following are correct:

A.

The scale drawing is three times the size of the actual object.

D.

If the actual object is 2 cm long, the scale drawing will be 6 cm long.

Answer 2

The scale on a drawing is written so that the first number is the length on the drawing and the second number is the length in real life.

A scale of 3:1 means the drawing is 3 times the size of the actual object.

The two true answers would be:

A. The scale drawing is three times the size of the actual object.

And

D. If the actual object is 2 cm long, the scale drawing will be 6 cm long.