Question

Please help with the whole page Thank you :)

Answer 1

First Part:
A cube has all equal sides and therefore the formula of:
-Volume of Cube=side³
                           =3³=27 cm³
-Volume of Cuboid=Area of base×Height of prism
            1st prism   =4×3×1=12 cm³
            2nd prism  =7×4×9=252 cm³
            3rd prism   =3.5×5×6=105 cm³
Second part:
Volumes are given with one side missing
            V=Area of base×Height of Prism
1st prism
         360=6×12×x
         360=72x
         $\frac{360}{72}$=$\frac{72x}{72}$
         5 cm=x
Check: V=6×12×5=360 cm³
2nd question:
         break it into 2 parts:
1st: find the volume of the first cuboid: 
       V=3×3×4=36 cm³
So now we know the volume of the second cuboid since both of them have the same volume.
2nd: 36=6×4×x
        36=24x
$\frac{36}{24} = \frac{24x}{24}$
 1.5 cm=x
         Check: 1.5×6×4=36 cm³