Manuel created a factor tree and wrote the prime factorization of 60 shown below.
60
60 = 3 x 4 x 5
-
15
3
5
What is Manuel's error?
He did not include 15 in the prime factorization.
He did not find the prime factors of 4.
He should have started the factor tree with 2x 30.
He should not have found the factors of 15.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

(a) the volume of the cone is 20/3 in3

hence, option a is correct.