Question

Find the total surface area of this square based pyramid. 10 in 5 in

Answer 1

Answer:

128.08 $in^2$

Step-by-step explanation:

To find the surface area use the expression $a^2 + 2a\sqrt{\frac{a^2}{4} +h^2}$

When you plug in 5 for a and 10 for h you will get 128.08

Answer 2

Answer:

  125 in²

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²