Please help me need help very fast i am very confused!

Question

Question 1: Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, rounded to the nearest tenth.

A.) L = 660 cm² ; S = 781 cm²

B.) L = 330 cm² ; S = 451 cm²

C.) L = 660 cm² ; S = 704 cm²

D.) L = 330 cm² ; S = 374 cm²

Question 2: Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, rounded to the nearest tenth.

A.) L = 660 cm² ; S = 781 cm²

B.) L = 330 cm² ; S = 451 cm²

C.) L = 660 cm² ; S = 704 cm²

D.) L = 330 cm² ; S = 374 cm²

Answer 1

Hmmm... No wonder you're confused! It looks like you have the same question twice!

That said, remember that the Lateral Area is the combined area of JUST THE FACES of the pyramid, while Surface Area is the combined area of ALL FACES AND THE BASE.

Since the Faces are triangles, you simply use the Triangle Area formula, A=bh/2 = (11*15)/2, for EACH face. Since there are 4 faces, you then multiply that by 4. That is your Lateral Area.

Then to find the SA, simply add the number you got above, to the area of the Base. And since the Base is a square (11x11), that's easy!