For a rectangular solid with length 13 feet, height 14 feet, and width 5 feet, find the a. volume and b. surface area.
step 1
Find the volume
we know that
the volume is equal to
V=L*W*H
so
substitute teh given values
[tex]\begin{gathered} V=13\cdot5\cdot14 \\ V=910\text{ ft\textasciicircum{}3} \end{gathered}[/tex]step 2
Find the surface area
we have that
the surface area 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
so
B=L*W
B=13*5=65 ft^2
P=2(L+W)
P=2(13+5)
P=36 ft
substitute
SA=2(65)+36(14)
SA=634 ft^2