Question

The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 2 inches. The height of each triangle attached to the square is 5 inches. The base of the triangle is the side of the square. What is the surface area of the solid? 14 square inches 20 square inches 24 square inches 32 square inches

Answer 1

Given:

The dimensions:

Square pyramid

Square base: 2x2

1 out of 4 triangles: 1/2x2x5

4 triangles: 2x2x5

To find:

The SURFACE AREA of the square pyramid

Find answer:

Step 1

Find the area of the square base -

Square base:

SA = L x W

= 2 x 2

= 4

The surface area of the square is 4 square inches

Step 2

Find the area of the 4 Triangles:

We will use a different formula here, to find 1 triangle, we will have to do:

`SA = (1)/(2) *B*H`

To find 2 triangles, we will do:

`SA = B*H`

But to find 4 triangles in just 1 step, we will do:

`SA=2*B*H`

Let's do it!

`SA = 2*2*5\\=2*10\\=20`

The surface area of the 4 triangles are 20 square inches

Step 3

Add answers to get FINAL ANSWER

Easy!

20+4=24

Hence, the Surface Area of the Square Pyramid is 24 square inches