Question

Olivia has made a pyramid model for her history project at school. The pyramid model has a square base. Each triangular side of the

model has a base length of 10 centimeters and a slant height of 8.9 centimeters. Olivia wants to wrap the pyramid in wrapping paper
before putting it into her school bag.
How much wrapping paper will Olivia need to cover the pyramid?
OA. 178 square centimeters
OB. 89 square centimeters
OC. 456 square centimeters
OD. 278 square centimeters

Answer 1

278 square centimeters

Explanation:

You need to use the Pythagorean Theorm. If you're pyramid is a perfect square, then to the middle the length is 5. Because 10/2 is 5. You then use the Pythagorean Theorm (a^2 + b^2 =c^2) to find the side length of the traingle. When you square the hypotenuse and subtract the bottom leg sqaured, you are left with 3.46274054 after square rooting it. (c^2-a^2=b^2) Plug these into the equation for a right, rectangluar pyramid. You then get 277.9, rounded, is 278.

Hope this helps!