Answer:
V = 64 r^(9) * s^(6)
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = ( 4r^3s^2) ^3
We know that ( ab) ^c = a^c * b^c
V = 4^3 * r^3^3 * s^2^3
V = 64 * r^3^3 * s^2^3
We know that a^b^c = a^(b*c)
V = 64 r^(3*3) * s^(2*3)
V = 64 r^(9) * s^(6)
<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.
For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
</span>
The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
</span>
The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then
it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram,
then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
