Aptitude- IPAT-Geometry

A rectangular prism has a length of 5, a width of 3 and a height of 2. What is the difference between the length of the rectangular prism and the length of any side of a cube with the exact same volume as the rectangular prism?

A rectangular garden is 5m long and 13m wide. A fence is built around the garden, leaving a 1m gap at each side. What is the distance of the diagonal line between two opposite corners of the fence.

If the ratio of the area of a circle to the circumference of the circle is 5:4, what is the diameter of the circle?

Imagine a square with a side length of 3 cm. If the square is divided into 9 smaller squares of 1 cm side length, what is the ratio of the perimeter of the original square to the total perimeter of the 9 smaller squares?

A right triangle has legs of length x-1 and 2x+2 and a hypotenuse of length 2x+4. If two such right triangles are attached to each other on their hypotenuses to form a rectangle, what is the area of that rectangle?

John has a backyard shaped like an isosceles right triangle. He hires a landscaper to build a fence around his entire backyard. If the ratio of the area of the backyard to the length of one of the legs of the isosceles right triangle is 5:1, what is the total length of the fence built around John's backyard?