Question

find the surface area of this square pyramid.
image of square pyramid with base labeled 4 cm, slant height labeled 6 cm
surface area of a pyramid
la = 2bl
sa = la + b
sa = ? cm²

Explanation:

Answer:

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

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

• \( b = 4 \) cm (base edge length), \( l = 6 \) cm (slant height)
• \( LA = 2(4)(6) = 48 \) \( \text{cm}^2 \)

1. Base Area (B): The base is a square, so \( B = b^2 \)

• \( B = 4^2 = 16 \) \( \text{cm}^2 \)

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

• \( SA = 48 + 16 = 64 \) \( \text{cm}^2 \)

\( 64 \)