Question

find the surface area of this square pyramid.
(image of square pyramid with base edge 5 m and slant height 5 m)
surface area of a pyramid
la = 2bl
sa = la + b
sa = ? m²

Explanation:

Answer:

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

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

• The base \( b = 5 \, \text{m} \) (side of the square base).
• The slant height \( l = 5 \, \text{m} \).
• Substitute: \( LA = 2(5)(5) = 50 \, \text{m}^2 \).

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

• Substitute \( b = 5 \, \text{m} \): \( B = 5^2 = 25 \, \text{m}^2 \).

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

• Substitute \( LA = 50 \) and \( B = 25 \): \( SA = 50 + 25 = 75 \, \text{m}^2 \).

\( 75 \)