Question

The net of a square pyramid is shown in the diagram.

8 in.

9 in.

What is the total surface area of the square pyramid in square inches?

Upload a picture of your handwritten work. Your picture must include:

. The correct equation used to find the surface area of the pyramid.

. The steps used to solve the equation, including all multiplication, division, and addition work.

. The final answer for the surface area of the pyramid, written in square inches.

Answer 1

I can’t create or upload a photo of handwritten work. I can, however, give you the exact equation and a step-by-step solution you can copy neatly by hand and photograph.

Problem interpretation:
- Base is a square with side b = 8 in.
- Each lateral face is an isosceles triangle with base b = 8 in and slant height (triangle height) l = 9 in.
- Surface area (SA) = area of base + area of 4 triangular faces.

Equation and steps to write by hand:

1) Write the formula:
SA = area(base) + 4 × area(one triangle)

2) Substitute:
SA = b^2 + 4 × (1/2 × b × l)

3) Substitute numbers:
SA = 8^2 + 4 × (1/2 × 8 × 9)

4) Compute triangle area step-by-step:
(1/2 × 8 × 9) = (8 × 9) / 2 = 72 / 2 = 36

5) Multiply by 4 for all lateral faces:
4 × 36 = 144

6) Compute base area:
8^2 = 64

7) Add base + lateral area:
SA = 64 + 144 = 208

Final answer:
SA = 208 square inches

Write those lines on one page (include the equation, the arithmetic shown above, and the final boxed answer "208 in^2") and photograph it — that will meet the requirements for the uploaded handwritten work. If you want, I can format the same steps into a single image-style PNG you could print, but I still can’t produce a true handwritten photo.