Question

the length of a box is 100cm, the width is 20 cm, and the height is 0.5 M. Which expression represents the volume in M3?

Answer 1

`\text{ 1 X 0.2 X 0.5}`

Step-by-step explanation

A box is a rectangular prism, the volume for this shape is given by:

`\text{Volume}=\text{ length}\cdot width\cdot heigth`

so

Step 1

as we need the answer is cubic meters,we need to convert the measures ( given in cm) into meteres, so

the equivalence is

`\begin{gathered} 1\text{ m= 100 }cm \\ \frac{1\text{ m}}{100cm}=1 \end{gathered}`

to convert each measure, multiply the measure by the fraction,

a)100 cm

`\begin{gathered} 100cm((1m)/(100cm))=1\text{ m} \\ 100cm=\text{ 1m} \end{gathered}`

b)20 cm

`\begin{gathered} 20cm((1m)/(100cm))=0.2\text{ m} \\ 20cm=\text{ 0.2m} \end{gathered}`

c) length:0.5 m

as the heigth is given in meters,we don´t need to convert ,

`\text{length}=\text{ 0.5 m}`

Step 2

now, replace in the formula to find the volume

`\begin{gathered} \text{Volume}=\text{ length}\cdot width\cdot heigth \\ \text{Volume}=1\text{ m}\cdot0.2\text{ m}\cdot0.5\text{ m} \\ \text{Volume}=1\cdot0.2\cdot0.5 \end{gathered}`

so, the answer is

`\text{ 1 X 0.2 X 0.5}`

I hope this helps you