(a)
Given the dimensions of the rectangular prism l = 7 cm, w = 2 cm, h = 8 cm, the surface area of a rectangular prism can be computed using the equation
[tex]SA=2(wl+hl+hw)[/tex]
Substitute the values on the equation above and compute, we get
[tex]SA=2\lbrack(2cm\times7cm)+(8cm\times7cm)+(8cm\times2cm)\rbrack=172cm^2[/tex]
The volume of the rectangular prism can be computed using the equation
[tex]V=l\times w\times h[/tex]
Plug in the values on the equation above and compute, we get
[tex]V=(7cm)\times(2cm)\times(8cm)=112cm^3[/tex]
(b) For the amount of juice inside the rectangular prism, we will use volume.
(c) For the amount of coating of wax for the box, we will use surface area.
