Question

Find the volume of the recyangulaar prism2/3mm2/3mm1 3/4 mm

Answer 1

Volume of a rectangular prism:

`V=\text{Length}* Width* Height`

Given prism:

`V=(2)/(3)mm*(2)/(3)\text{mm}*1(3)/(4)mm`

To multiply first write the mixed number as a improper fraction:

`1(3)/(4)=1+(3)/(4)=(4+3)/(4)=(7)/(4)`

The volume is:

`\begin{gathered} V=(2)/(3)mm*(2)/(3)\text{mm}*(7)/(4)mm \\ \\ V=(2*2*7)/(3*3*4)mm^3 \\ \\ V=(28)/(36)mm^3 \\ \\ V=(7)/(9)mm^3 \end{gathered}`

Then, the volume is 7/9 cubic milimeters