A triangular prism is covered with foil label The label does not cover the two ends. How much foil is necessary to cover the prism

Respuesta :

Answer:

The required foil is about  [tex]2ls+lb[/tex] sq units.

Step-by-step explanation:

Given:

A triangular prism covered with foil.

To Find:

If two ends are not covered how much foil is required.

Solution:

The triangular prism has total of 5 faces  as

two side faces ............... Rectangular shape

one bottom face.............rectangular shape

two side faces............ triangular face.

(Refer the attachment for diagram)

Area of triangle =[tex]1/2(base*height)[/tex]

Now there  2 traingles so

Total are for triangle =[tex]base * height[/tex]

Area for bottom rectangle,

=length *breadth

[tex]=l*b[/tex]

Area for 2 side rectangles,

=2*(length * breadth)

=2*(l*S)

[tex]=2*l*S[/tex]

Hence required area =total area -area of triangle

(As triangles are presented at both ends) and as per condition.

[tex]=(2ls+lb+bh)-bh[/tex]

[tex]=2ls+lb[/tex].