Question

The figure below shows a juice box in the shape for a rectangular prism

Answer 1

(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

`SA=2(wl+hl+hw)`

Substitute the values on the equation above and compute, we get

`SA=2\lbrack(2cm*7cm)+(8cm*7cm)+(8cm*2cm)\rbrack=172cm^2`

The volume of the rectangular prism can be computed using the equation

`V=l* w* h`

Plug in the values on the equation above and compute, we get

`V=(7cm)*(2cm)*(8cm)=112cm^3`

(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.