Net of a square pyramid base 6, slant height 5

Step by step

The question

Question: draw the net of a square pyramid, base 6, slant height 5, and find its surface area.

The surface area is the area of all the outside faces together.

A net shows every face flat.

1 Unfold it

Flat: the square base, with a triangle on each side.

2 Area of each face

The square base: 6 × 6 is 36.

Each triangle: half × 6 × 5 is 15.

Careful!

Count every face in the net.

There are four triangles.

3 Add them all

We add all 5 faces: 96.

4 Check

Let's check another way.

Four triangles of half 6 times 5 are two whole 6 by 5 rectangles: 60.

Plus the base 36.

Together 96.

So the answer is right!

Let's look back.

First: unfold it.

Then: area of each face.

Then: add them all.

Last: check.