Answered

Join the IDNLearn.com community and get your questions answered by knowledgeable individuals. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

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

Sagot :

ⲊⲧɑⲅⲊⲏɑᴅⲟᏇidn

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.

Semsee45idn

Answer:

39 m²

Step-by-step explanation:

surface area of square based pyramid = [tex]a^2+2al[/tex]

(where [tex]a[/tex] is the side length of the base and [tex]l[/tex] is the slant height)

Given:

  • [tex]a=3[/tex]
  • [tex]l=5[/tex]

⇒ SA = 3² + (2 x 3 x 5) = 39 m²        

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.