Respuesta :

Ashraf82

Answer:

The lateral area = 450 mm²

Step-by-step explanation:

The lateral area of any prism is equal to the areas of the sides faces

∵ The base of the prism is triangle

∴ It has 3 side faces

∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15

∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)

                              = 75 + 180 + 195 = 450 mm²

alinakincsem

Answer:

The correct answer option is 450[tex]mm^2[/tex].

Step-by-step explanation:

We are given a diagram of a prism with side measurements of 5 mm, 12 mm, 13 mm and a height of 15 mm and we are to find the lateral area of this prism.

We know that the formula of the lateral area of a prism is given by:

Lateral area of prism = perimeter × height

Substituting the given values in the formula to get:

Lateral Area = ( 5 + 12 + 13) x 15 = 450 mm^2