Answered

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

The Figure Below Shows A Juice Box In The Shape For A Rectangular Prism class=

Sagot :

(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.

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