Respuesta :

frika

Answer:

105 square cm.

Step-by-step explanation:

The surface area of a square pyramid is

[tex]SA=A_{base}+4A_{lateral \ side}.[/tex]

1. The base is the square with side length of 5 cm, thus

[tex]A_{base}=5\cdot 5=25\ cm^2.[/tex]

2. The lateral side is the triangle with the base of 5 cm and the height of 8 cm. Thus,

[tex]A_{lateral \ side}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 5\cdot 8=20\ cm^2.[/tex]

Now, the surface area of the pyramid is

[tex]SA=25+4\cdot 20=105\ cm^2.[/tex]

luisejr77

Answer:

The surface area of a square pyramid is: 105 cm^2

Step-by-step explanation:

The surface area of a pyramid is given by the following formula

[tex]A = l ^ 2 + 4 * (0.5) lh[/tex]

Where

l is the length of one of the sides of the square base

h is the height of the pyramid

We know that h = 8 cm and l = 5 cm

[tex]A = 5 ^ 2 + 4 * (0.5) * 5 * 8\\\\A = 25 + 2 * (40)\\\\A = 105\ cm ^ 2[/tex]

Otras preguntas