Question

PLS HELP ME WITH THIS!!!!!! HOW DID THEY GET 80ft^2

Answer 1

$\huge \boxed{\mathfrak{Question} \downarrow}$

• Determine the surface area of the right square pyramid.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

The formula for finding the surface area of a right square pyramid is ⇨ b² + 2bl, where

• b = base of the right square pyramid
• l = slant height of the right square pyramid.

In the given figure,

• base (b) = 4 ft.
• slant height (l) = 8 ft.

Now, let's substitute the values of b & l in the formula & solve it :-

$\sf \: {b}^{2} + 2bl \\ = \sf \: {4}^{2} + 2 \times 4 \times 8 \\ = \sf \: 16 + 8 \times 8 \\ = \sf \: 16 + 64 \\ = \huge\boxed{\boxed{ \bf 80 \: ft ^{2} }}$

So, the surface area of the right square pyramid is 80 ft².