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

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

Respuesta :

Answer:

The required foil is about 2l + lb 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 = 1/2(base × height)

Now there  2 traingles so

Total are for triangle = base × height

Area for bottom rectangle,

=length *breadth = l * b

Area for 2 side rectangles,

=2*(length * breadth)

=2*(l*S)

=2 * l * S

Hence required area =total area -area of triangle

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

= (2ls + lb + bh) - bh

= 2ls + lb.