Question

find the surface area of this square pyramid.
surface area of a pyramid
la = 2bl
sa = la + b
4 cm
8 cm
sa = ? cm²

Explanation:

Answer:

To find the surface area of the square pyramid, we use the given formulas:

1. Lateral Area (LA): \( LA = 2bl \)

• The base edge \( b = 4 \) cm, and the slant height \( l = 8 \) cm.
• Substitute into the formula: \( LA = 2(4)(8) = 64 \) cm².

1. Base Area (B): The base is a square with side \( 4 \) cm, so \( B = 4^2 = 16 \) cm².

1. Surface Area (SA): \( SA = LA + B \)

• Substitute the values: \( SA = 64 + 16 = 80 \) cm².

\( 80 \)