Question

Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.2 in. Each of the triangular faces has a base of 4.2 in and a height of 3.6 in. How much paper would it take to cover the entire pyramid

63.5 sq in

72.71 sq in

12 sq in

47.88 sq in

Answer 1

First, find the area of each of the two given shapes...
Area of the square...\[A=a^2\]
Area of a triangle....\[A=\frac{ hb }{ 2 }\] h is height & b is base

Answer 2

Can you solve these, or would you like help?

Answer 3

if you don't mind helping

Answer 4

No problem. Let's do the square first...
A = a^2
1.) Plug the given side of the square into the equation.
A = 4.2^2
2.) Solve
A = 17.64

Now the triangle...
A = (bh)/2
1.) Plug the given base and height of the triangle into the equation.
A = (4.2 * 3.6)/2
2.) Solve what is in the parenthesis first.
A = 15.12 /2
3.) Now divide by two.
A = 7.56
4.) Because there are 4 of the same triangle, multiply the area by 4.
A = 7.56(4)
30.24

Answer 5

Now that you have your area for the square and for all 4 triangles, add them together to find the total amount of paper needed...
17.64 + 30.24 = 47.88

So it is the last answer '47.88 sq in'.

Answer 6

thank you for your time

Answer 7

No problem. Glad I could help.