Question

A house has an area of 234 m2. What is its area in each unit?

Answer 1

Answer :

(A) $234m^2=2.34\times 10^8km^2$

(B)  $234m^2=2.34\times 10^4dm^2$

(C) $234m^2=2.34\times 10^6cm^2$

Explanation :

The conversion used for area from $m^2$ to $km^2$ is:

$1m^2=10^6km^2$

The conversion used for area from $m^2$ to $dm^2$ is:

$1m^2=100dm^2$

The conversion used for area from $m^2$ to $cm^2$ is:

$1m^2=10000cm^2$

Part (A):

As, $1m^2=10^6km^2$

So, $234m^2=\frac{234m^2}{1m^2}\times 10^6km^2=2.34\times 10^8km^2$

Part (B):

As, $1m^2=100dm^2$

So, $234m^2=\frac{234m^2}{1m^2}\times 100dm^2=2.34\times 10^4dm^2$

Part (C):

As, $1m^2=10000cm^2$

So, $234m^2=\frac{234m^2}{1m^2}\times 10000cm^2=2.34\times 10^6cm^2$

Answer 2

Answer:

a) $0.000324 km^2$

b) $32400 dm^2$

c) $3.24x10^6 cm^2$

Explanation:

To do the different conversions we need to know the follow:

$1 km->1000 m so 1 km^2-> 1000^2 m^2= 1x10^6 m^2$

$324 m^2*(1 km^2/1x10^6 m^2) = 0.000324 km^2$

$1m-> 10 dm so 1m^2->10^2 dm^2=100 dm^2$

$324 m^2*(100 dm^2/1 m^2)=32400 dm^2$

$1m-> 100 cm so 1m^2->100^2 cm^2=10000 cm^2$

$324 m^2*(10000 cm^2/1 m^2)=3.24x10^6 cm^2$