Question

How do you calculate the TSA of a squared pyramid when the height is given instead of slant height and base equals to 7cm

Answer 1

Answer:

$TSA = 49 + 14\sqrt{12.25 + h^2}$

Step-by-step explanation:

Given

$b = 7cm$ --- base lengths

Required

Determine the total surface area

Given the height (h), the total surface area of a squared pyramid is:

$TSA = b^2 + 2b\sqrt{\frac{b^2}{4} + h^2}$

The equation becomes

$TSA = 7^2 + 2*7\sqrt{\frac{7^2}{4} + h^2}$

$TSA = 7^2 + 2*7\sqrt{\frac{49}{4} + h^2}$

$TSA = 49 + 14\sqrt{12.25 + h^2}$