Modeling Algebra 2

Question

Danny is measuring two pyramids whose bases are squares.

Given the height h and volume V of the first pyramid, Danny uses the formula

 A= sqrt 3V/h to compute its base's side length a to be 5 meters.

The second pyramid has the same volume, but has 4 times the height. What is the side length of its base?

Answer 1

Working with 3 dimensions; to get side "c"; first work with 2 dimensions. The formula is a^2+b^2=c^2. After figuring "c"; it'll be used as "b" with the same formula to figure the 3rd dimension which is "c" .

Side "a"shortest

b mid

c hypotenuse

In this case "c"=5m.

To get volume: bh/3; base=L^2.

With only side "c" there's nothing else I can do.