Book Maths Puzzle Area and Volume

The volume of a pyramid with a square base is 120 cubic units. If the base has a permeter of 24 units, what is the height of the pyramid?

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Book Other Question

The longer leg of a right triangle is 3 inches longer than x, the length of the shorter leg. The hypotenuse is 15 inches long. The following equation shows the relationship between the sides of the triangle.



x^2+(x+3)^2=225



What is the length of the shorter leg?
The area of a rectangle is x^2-6x+58. Find x if the area of the rectangle is 50 square units.