Question

Determine the lateral and total surface area of the pyramid.

Answer 1

Answer:                      

Lateral surface area = 45.5

Total surface area = 60.2

Step-by-step explanation: To find the lateral surface area, we first need to find the surface area of one triangle. For the triangle on the right/left, you multiply 3.5*5.8, which equals 20.3. Since this is a triangle, we multiply the product (20.3) by 1/2. The answer is 10.15. Since there are two triangles with the same dimensions as this, we multiply 10.15 by 2, which equals 20.3. For the triangle on the top/bottom, we multiply 4.2*6, which equals 25.2. Since this is a triangle again, we multiply 25.2 by 1/2. The answer is 12.6. Since there are two triangles with the same dimensions as this, we multiply 12.6 by 2, which equals 25.2. Now we add 20.3 + 25.2, which equals 45.5. This is the lateral surface area.

To find the total surface area, we now need to find the area of the base as well. To do so, we multiply 4.2 by 3.5, which equals 14.7. Now we add 45.5, the area of all the triangles, with 14.7, the area of the base. The answer is 60.2.

I hope this helps!