Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...

(height ratio)^2 = 1/2

((h -2)/h)^2 = 1/2

(h -2)√2 = h . . . . . . square root; multiply by h√2

h(√2 -1) = 2√2 . . . . add 2√2 -h

h = (2√2)/(√2 -1) ≈ 6.8284 . . . units

The altitude of the original pyramid is about 6.83 units.

7 0

2 years ago

On Tuesday Emily bought nine hats. on Wednesday half of all the hats that she had were destroyed. on Thursday there were only 24

umka21 [38]

Answer:

33 i think

Step-by-step explanation:

sorry im not that smart but i did the math so it should be 33

3 0

3 years ago

The coordinates of two vertices of a right triangle are shown on the grid.

miss Akunina [59]

Answer:

Step-by-step explanation:

3 0

2 years ago