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While playing with magnetic building tiles, Natalie constructed a square pyramid out of
orange tiles and a larger square pyramid out of green tiles. The dimensions of the orange
pyramid are shown below.
5 cm
7 cm
The green pyramid's square base has sides that are 14 centimeters long, and its volume is 21
times the volume of the orange pyramid. What is the height of the green pyramid?

While playing with magnetic building tiles Natalie constructed a square pyramid out of orange tiles and a larger square pyramid out of green tiles The dimension class=

Respuesta :

onyebuchinnaji

The height of the green pyramid constructed  by Natalie while playing with magnetic building tiles is 26.25 cm.

Volume of the orange pyramid

The volume of the orange pyramid is calculated as follows;

V = ¹/₃Ah

where;

  • A is the base area of the pyramid
  • h is the height of the pyramid

V = ¹/₃ x (7²) x 5

V  = ¹/₃ x (245 cm³)

Volume of the green pyramid

Voume = 21 x [¹/₃ x (245 cm³)]

Volume = 1,715 cm³

Height of the green pyramid

V = ¹/₃Ah

3V = Ah

h = 3V/A

h = (3 x 1715) / (14²)

h = 26.25 cm

Learn more about area of pyramid here: https://brainly.com/question/22744289

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