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Two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 3 and 136 3, respectively. The height of N is 18 . Find the corresponding height of M.

SHOW WORK FOR BRAINLIEST Two rectangular prisms M and N are mathematically similar The volumes of M and N are 17 3 and 136 3 respectively The height of N is 18 class=

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Answer:

9 cm

Step-by-step explanation:

Volume of M= 17cm^3. Volume of N=136cm^3

Volume of N/Volume of M = k^3

136/17=8

Cube root of 8 =2

Now we know that k=2.

Height of N/2 =height of M

18/2= 9

Therefore, the height of M=9