Question

12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30

inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)

Answer 1

54061 in³

Explanation:

Using proportion

Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid

30/36 = x/64873

Cross Mulitiply

36 × x = 64873 × 30

x = 64873 × 30/36

x = 54060.833333 in³

Approximately = 54061 in³

Therefore, the volume of the smaller pyramid is 54061 in³