Question

A paper model of the Khafre pyramid in Egypt has a square base 7.2 centimeters on each side. The slant height is 6 centimeters. How much paper was used to make the model?

Answer 1

To find how much paper for the model, you will use the formula for area of a square and area of a triangle.

A = bh
7.2 x 7.2
A = 51.84 cm²

A = 1/2bh
1/2 x 7.2 x 6
A = 21.6 cm²

21.6 cm² x 4 = 86.4 cm²

86.4 + 51.86=138.3

You will need 138.3 cm² of paper.

Answer 2

138,24 cm^2 of paper were used to make the model

Explanation:

We are asked to find the amount of paper used to make the pyramid. This is equivalent to the surface area, or the sum of the areas of each face of the pyramid

To find the surface area of a pyramid we may use the the perimeter and the slant height of the pyramid using:

SA(Surface area)= A + 1/2(p*h)

Where A is the area of the base , p is the permiter of the base and h the measure of the slant height. Replacing the values given in the problem in this formula:

The area of the base A, as it is a square, is base^2

A= 7.2*7.2 = 51.84

The perimeter of the base is:

p= 7.2*4 = 28,8 so replacing the values

SA(Surface area)= A + 1/2(p*h) =51.84 + 1/2(28.8*6) = 51,84 + 86.4 = 138,24 cm^2

So, 138,24 cm^2 of paper were used to make the model