Answer:
Part a) The area of the base of the prism is equal to [tex]48\ cm^{2}[/tex]
Part b) The volume of the prism is equal to [tex]336\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
step 1
Find the area of the base of the prism
The base of the prism is a rectangle
so
The area is equal to
[tex]B=LW=6*8=48\ cm^{2}[/tex]
step 2
Find the volume of the prism
we have
[tex]B=48\ cm^{2}[/tex]
[tex]h=7\ cm[/tex]
substitute in the formula of volume
[tex]V=48*7=336\ cm^{3}[/tex]
