Answer:
[tex]TSA = 49 + 14\sqrt{12.25 + h^2}[/tex]
Step-by-step explanation:
Given
[tex]b = 7cm[/tex] --- base lengths
Required
Determine the total surface area
Given the height (h), the total surface area of a squared pyramid is:
[tex]TSA = b^2 + 2b\sqrt{\frac{b^2}{4} + h^2}[/tex]
The equation becomes
[tex]TSA = 7^2 + 2*7\sqrt{\frac{7^2}{4} + h^2}[/tex]
[tex]TSA = 7^2 + 2*7\sqrt{\frac{49}{4} + h^2}[/tex]
[tex]TSA = 49 + 14\sqrt{12.25 + h^2}[/tex]
