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

$SA=2\lbrack(2cm\times7cm)+(8cm\times7cm)+(8cm\times2cm)\rbrack=172cm^2$

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

$V=l\times w\times h$

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

$V=(7cm)\times(2cm)\times(8cm)=112cm^3$

(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.