Question

Find the surface area of a square pyramid with side length 3 m and slant height 5 m.

Answer 1

Ⲁⲛ⳽ⲱⲉⲅ:

• 39 m²

Ⲋⲟⳑⳙⲧⳕⲟⲛ :

Information provided with us:

• Side length ( a ) = 3m
• Slant height ( l ) = 5m

Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ :

Surface area of square pyramid is given by the sum of areas of all its 4 triangular sides and the square base area. If a is the base side length and l is the slant height , then the surface area of square pyramid is:

‎ㅤ‎‎ㅤ‎ㅤ‎ㅤ‎ㅤ➙ a² + 2al

Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:

‎ㅤ‎ㅤ‎ㅤ➙ A = a² + 2al

‎ㅤ‎ㅤ‎ㅤ➙ A = ( 3 ) ² + 2 × 3 × 5

‎ㅤ‎ㅤ‎ㅤ➙ A = 9 + 30

‎ㅤ‎ㅤ‎ㅤ➙ A = 39m²

~Hence, the surface area of given square pyramid is 39 m².

Answer 2

39 m²

Explanation:

surface area of square based pyramid =
`a^2+2al`

(where
`a` is the side length of the base and
`l` is the slant height)

Given:

• 
  `a=3`
• 
  `l=5`

⇒ SA = 3² + (2 x 3 x 5) = 39 m²