Question

d) IV)
4. A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect
cubes. If p and g are perfect cubes, which of the 25. A piece of ribbon 4 yards long is used to make
bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be
made?
a) 8p
b) pq
c) pq+27
d) -p
​

Answer 1

Answer:

pq + 27 is not a perfect cube

Step-by-step explanation:

A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect

cubes. If p and q are perfect cubes, which of the following is not a  cube

p and q are perfect cubes

=> p = a³  & q = b³

8p = 8a³ = (2a)³   => 8p is perfect cube

pq = a³b³ = (ab)³  => pq is perfect Cube

pq + 27 = a³b³ + 3³ = (ab)³ + 27  not a cube => pq + 27 is not a perfect cube

-p = -a³ = (-a)³  => -p is a perfect cube

pq + 27 is not a perfect cube

1 Yard = 36 inch

4 Yard = 36*4 = 144 inch

1 bow required 15 inches

bows can be prepared  =144/15 = 9.6

=> 9 bows can be made