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

`TSA = 49 + 14√(12.25 + h^2)`

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{(b^2)/(4) + h^2}`

The equation becomes

`TSA = 7^2 + 2*7\sqrt{(7^2)/(4) + h^2}`

`TSA = 7^2 + 2*7\sqrt{(49)/(4) + h^2}`

`TSA = 49 + 14√(12.25 + h^2)`