Question

What is the total surface area of the rectangular pyramid with the given net?

Answer 1

Explanation

Since the pyramid is rectangular, the opposite triangles surfaces are equal.

So, the total surface are will be twice the areas of the top and right triangles plus the area of the rectangle.

For the rectangle, we have:

$A_r=4\cdot7=28$

For the top and bottom triangles, we have:

$A_{t1}=2\cdot(\frac{4\cdot10}{2})=40$

And the left and right triangles are:

$A_{t2}=2\cdot(\frac{7\cdot6}{2})=42$

So, in total, we have:

$A_s=28+40+42=110$

Answer

The surface area is 110 units².