Scales 3

Years

Scales 3

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 3

A map indicates that the distance between a town to the beach is

$65 \text(cm)$ . If the scale of the map is

$1:50 000$ , what is the actual distance between the town and the beach in kilometres?

(32.5) $\text(km)$

Question 2 of 3

2. Question
A model plane has a wingspan of $61 \text(cm)$ . What would the actual wingspan be in metres if the scale is $1:22$ ?
- (13.42) $\text(m)$
Hint

Help Video
Correct

Excellent!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

A scale is the ratio of the size of a model to the actual object it represents.

Quad boxes are used to easily find rates

First, fill up the quad boxes with the three known values and have the unknown value be $x$ .

Model Actual

$1$ $22$

$61$ $x$

Next, equate the two columns and solve for $x$ .

$1/(22)$ $=$ $(61)/x$

$1(x)$ $=$ $61(22)$ Cross multiply

$x$ $=$ $1342$

Since the given measurement for the model is in $\text(cm)$ , this value will be $1342 \text(cm)$ .

Finally, convert the centimetres into metres.

$1 \text(metre)$ $=$ $100 \text(centimetres)$

$x$ $=$ $1342xx1/(100)$ $100cm$ has $2$ zeroes $:.$ move $2$ decimal places to left

$x$ $=$ $(1342)/(100)$

$=$ $13.42$

$x=13.42 \text(m)$
Question 3 of 3

3. Question
A building plan indicates that the building’s length will be $70 \text(cm)$ . If the scale is $1:50$ , what would the actual length of the building be in metres?
- (35) $\text(m)$
Hint

Help Video
Correct

Well Done!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

A scale is the ratio of the size of a model to the actual object it represents.

Quad boxes are used to easily find rates

First, fill up the quad boxes with the three known values and have the unknown value be $x$ .

Model Actual

$1$ $50$

$70$ $x$

Next, equate the two columns and solve for $x$ .

$1/(70)$ $=$ $(50)/x$

$1(x)$ $=$ $50(70)$ Cross multiply

$x$ $=$ $3500$

Since the given measurement for the plan is in $\text(cm)$ , this value will be $3500 \text(cm)$ .

Finally, convert the centimetres into metres.

$1 \text(metre)$ $=$ $100 \text(centimetres)$

$x$ $=$ $3500 000xx1/(100)$ $100cm$ has $2$ zeroes $:.$ move $2$ decimal places to left

$x$ $=$ $(3500)/(100)$

$=$ $35$

$x=35 \text(m)$

Map	Land
$1$	$50 000$
$65$	$x$

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Keep Going!

2. Question

Hint

Excellent!

3. Question

Hint

Well Done!

Quizzes

$1/(65)$	$=$	$(50 000)/x$

$1(x)$	$=$	$50 000(65)$	Cross multiply
$x$	$=$	$3 250 000$

$x$	$=$	$3 250 000xx1/(100 000)$	$100 000cm$ has $5$ zeroes $:.$ move $5$ decimal places to left

$x$	$=$	$(3 250 000)/(100 000)$

	$=$	$32.5$

$1/(22)$	$=$	$(61)/x$

$1(x)$	$=$	$61(22)$	Cross multiply
$x$	$=$	$1342$

$x$	$=$	$1342xx1/(100)$	$100cm$ has $2$ zeroes $:.$ move $2$ decimal places to left

$x$	$=$	$(1342)/(100)$

	$=$	$13.42$

$1/(70)$	$=$	$(50)/x$

$1(x)$	$=$	$50(70)$	Cross multiply
$x$	$=$	$3500$

$x$	$=$	$3500 000xx1/(100)$	$100cm$ has $2$ zeroes $:.$ move $2$ decimal places to left

$x$	$=$	$(3500)/(100)$

	$=$	$35$

Model	Actual
$1$	$22$
$61$	$x$

Model	Actual
$1$	$50$
$70$	$x$