Question

This figure of this net is called

pyramid
It has 5 faces.

The total surface area is
because ???

Hint: Area of a triangle =bh/2,
What are the base and height of
each of the triangles?

Answer 1

The surface area of the entire pyramid is 40 square units.

The triangles have base lengths of 4 units and heights of 3 units.

Explanation:

Step 1:

To calculate the surface area of the pyramid, we must calculate the areas of all the 5 sides.

We divide the pyramid into 1 square and 4 triangles, find the areas individually and then sum them all up to calculate the surface area of the entire pyramid.

Step 2:

There are four triangles with base lengths of 4 units and heights of 3 units. To calculate a triangle's area we multiply
`(1)/(2)` with the product of the base length and it's height.

The area of 1 triangle
`= (1)/(2) (4)(3) = 6` square units.

The area of 4 such triangles
`= 4(6) = 24` square units.

Step 3:

The area of a square is the square of its side length.

The square has a side length of 4 units.

The area of the square base
`= 4^(2) = 16` square units.

The surface area of the entire pyramid is the sum of the areas of the 4 triangles and the square.

The surface area of the entire pyramid
`= 24+16 = 40` square units.

The surface area is 40 square units.