Answer:
The volume of the rectangular prism is [tex]V=150\ in^{3}[/tex]
The surface area of the rectangular prism is equal to [tex]SA=190\ in^{2}[/tex]
Step-by-step explanation:
step 1
Find the volume of the rectangular prism
The volume of rectangular prism is equal to
[tex]V=LWH[/tex]
substitute the given values
[tex]V=(3)(5)(10)=150\ in^{3}[/tex]
step 2
Find the surface area of the rectangular prism
the surface area of the rectangular prism is equal to
[tex]SA=2B+PH[/tex]
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
Find the area of the base B
[tex]B=LW[/tex]
substitute
[tex]B=(3)(5)=15\ in^{2}[/tex]
Find the perimeter of the base P
[tex]P=2(L+W)=2(3+5)=16\ in[/tex]
The height H is equal to
[tex]H=10\ in[/tex]
substitute
[tex]SA=2(15)+(16)(10)=190\ in^{2}[/tex]
