Given:
The diagram shows the net of a juice box.
The box is a rectangular prism.
The length of the prism is 6.4 cm.
The width of the prism is 4 cm.
The height of the prism is 10.5 cm.
We need to determine the surface area of the juice box.
Surface area of the juice box:
The surface area of the juice box can be determined using the formula,
[tex]SA=2(w l+h l+h w)[/tex]
Substituting the values, we get;
[tex]SA=2[(4\times 6.4)+(10.5 \times 6.4 )+(10.5 \times 4)][/tex]
[tex]SA=2(25.6+67.2+42)[/tex]
[tex]SA=2(134.8)[/tex]
[tex]SA=269.6 \ cm^2[/tex]
Thus, the surface area of the juice box is 269.6 cm²
