Question

What’s the total height of a 17-story building that measures 4 meters 2 decimeters 17 centimeters per story?

Answer 1

Hello!

The answer is:

The total height of the 17-story building is 74.29 meters.

Why?

This a unit convertion problem. We know that there is a 17-story building and the height of each story, we need to convert the units and then, calculate the total height.

We need to use the following convertion factors:

$1meter=100cm$

$1decimeter(dm)=10cm$

Now, converting the given units we have:

Meters to centimeters:

$1meter=100cm$

$4*1meter=4*100cm$

$4m=400cm$

Decimeters to centimeters:

$1decimeter(dm)=10cm$

$2*1decimeter(dm)=2*10cm$

$2dm=20cm$

So, we know that one story measures 4 meters, 2 decimeters (dm) and 17 centimeters (cm), and if we want to calculate the total height of the 17-story building, we need to use the following equation:

$TotalHeight=17*(HeightDimension)$

$TotalHeight=17*(400cm+20cm+17cm)=17*(437cm)=7429cm$

Now,

Converting from centimeters to meters, we have:

$7429cm=7429cm*\frac{1m}{100cm}=74.29m$

Hence, we have that the total height of the 17-story building is 74.29 meters.

Have a nice day!

Answer 2

Answer:

h = 74.29 meters

Step-by-step explanation:

We know that a decimeter is equal to 10 cm.

and 100 cm equals 1 meter,

Then, each floor measures 4 meters + 2 decimetres + and 17 centimeters

This is:

4m + 20cm + 17cm

= 4m + 37cm

= 4m + 0.37 m

= 4.37 m.

If the building has 17 floors then its height is:

$h = 17 * 4.37$

h = 74.29 meters