Answer:
Step-by-step explanation:
There is a typo in the question, the lengths of the sides of the prism are:
24 cm
9 cm
17 cm
(otherwise, if all sides were 9 cm, it would be a cube, not a prism)
The volume of a rectangular prism is given by:
where:
l is the length of the prism
w is the width of the prism
h is the height prism
In this problem,
(length)
(width)
(height)
Therefore, the volume of the prism is:
Answer:
Step-by-step explanation:
The standard equation of a hyperbola is given by:
where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²
Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)
The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61
The foci is (h ± c, k) = (±√98, 0). Therefore c = √98
Hence:
c² = a² + b²
(√98)² = (√61)² + b²
98 = 61 + b²
b² = 37
b = √37
Hence the equation of the hyperbola is: