Geometry Answers

A 3 by 3 by 3 cube was painted on all faces and then cut apart into twenty-seven 1 by 1 by 1cubes.
How many 1 by 1 by 1 cubes had no faces painted? One face painted? Two faces painted? Three faces painted? Four or more faces painted? Answer the same question with for a 4 by 4 by 4 cube.

The toy company is determing the size of a box needed to ship 20 toys. each toy is in a cube-shaped package with a side length of 4 inches. What are the dimensions, in inches, of a box that will hold exactly 20 toy packages?

A closed vessel in the form of a right circular cone of height ‘h’ contains some water. When the vertex of the conical vessel is downward, water in it stands at 1/3rd of the height. It is now inverted so that the vertex is upward. At what height the water now stands ?

if given 4 non-collinear points,how do you decide if its a rectangle?

How can I Find x and y values of shapes such as parallelograms, squares, rhombus, and etc.?

Suppose that {a, b, c}is a pythagorean triple. Give some examples that will show that {3a+4b, 4a-3b, 5c} is pythagorean triple.

The parallel lines of a trapezium are 25 cm and 11cm ,while its non-parallel sides are 15 cm and 13 cm .Find the area of trapezium.

y=-1/4x - 18;(-4,-17)

y=6x=4;(-2,8)

Two horses are observed by a hang glider 80 meters above a meadow. The angles of depression are 10.4 and 8. How far apart are the horses?