Question

Find the surface area of the figure below

Answer 1

64 m²

Explanation:

Hello There!

The surface area is the total area of the figure

So in order to find the area we need to find the area of each shape

For the square:

the square has a length of 4 so we can simply find the area by squaring it

4 * 4 = 16

so the area of the square is 16 square meters

Now we need to find the area of the triangles

The formula for area of a triangle is

`A=(bh)/(2)`

where b = base and h = height

The triangles dimensions are:

base - 4m

height - 6m

having found these dimensions we plug them in into the formula

`A=(4*6)/(2) \\4*6=24\\(24)/(2) =12`

so the area of one of the triangles is 12 square meters

We want to find the total area of all of the triangles

To do so we multiply the area of one triangle by 4 (because there are four triangles)

12 * 4 = 48

So the total area of the four triangles is 48 square meters

Finally we add the two areas

48 + 16 = 64

so we can conclude that the total surface area of the pyramid is 64 m²

Answer 2

64

Explanation:

square= 16

triangle= 12

12*4 = 48+16 = 64