Respuesta :

Answer:

The surface area of the prism is 386m²

Step-by-step explanation:

The surface area of a box is equal to the sum of the areas of each side of the box.

[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (width) \times (height)[/tex]

Substitute the values of the length l=15, the width w=7, and the height h=4 into the formula.

[tex]2 \times 15 \times 7 + 2 \times 15 \times 4 + 2 \times 7 \times 4[/tex]

Simplify each term.

[tex]210 + 120 + 56[/tex]

Simplify by adding numbers.

[tex]386m ^{2} [/tex]

Hence, the Surface area of this prism is 386m².