Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

Sagot :

ⲊⲧɑⲅⲊⲏɑᴅⲟᏇ

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.

semsee45

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 time. Please come back anytime for the latest information and answers to your questions. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.