Answer: 
Step-by-step explanation:
Given
The dimension of the rectangular prism is

The volume of the prism is given by 

Therefore, the volume of the prism is
.
Answer:
0.5
Step-by-step explanation:
Let D be the event of selecting a marble with dots.
Let P be the event of selecting a purple marble.
The probability of selecting a marble with dots, P(D)=0.2
The probability of selecting a marble that is both purple and has dots, 
We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)
By the definition of conditional probability:

The probability of selecting a purple marble given that the marble has dots on it is 0.5.
Answer:
a - 2
Step-by-step explanation:
Perimeter = side 1 + side 2 + side 3
So
6a + 3 = 2(a + 3) + (3a - 1) + side 3
side 3 = (6a + 3) - (2a + 6) - (3a - 1)
side 3 = 6a - 2a - 3a + 3 - 6 + 1 = a - 2
Answer:
240 m³
Step-by-step explanation:
volume = length × width × depth
240 m³ = 20 m × 1 m × 12 m