Geometry

A cube thirteen feet to a side has a volume of 2197 cubic feet. A cube ten feet to a side has a volume of 1000 cubic feet. The larger cube has 1197 cubic feet, or 119.7 percent, more volume over the smaller one.

There are two 3D shapes with five faces: Triangular prisms and rectangular pyramids.

A trapezium is a quadrilateral and so has four sides and four vertices.

Yes, it can can have two right angles. However, only 2 sides are parallel in a trapezium. One side of the two remaining sides can be perpendicular to the parallel sides, making it have two right angles.

Vertical lines on a map are also called lines of longitude or meridians. These lines run from the North Pole to the South Pole and are used to measure the east-west position of a location on Earth. The prime meridian, located at 0 degrees longitude, is the starting point for measuring these lines.

To find the length of one side of a square when the area is sixteen square units, you would take the square root of the area. In this case, the square root of sixteen is four. Therefore, each side of the square would be four units long.

The diagonals of a rhombus are lines drawn from one corner, or vertex, to the opposite one. They have two important properties.

1. Diagonals bisects a pair of opposite angles. 2. Diagonals are !!perpendicular!!

An organic shape, is a shape that has no name. For instance; if you make a blob. That's organic. Then there's non-organic. Non-organic shapes has a name. Like a square or a prism.

Ah, sounds like you've got yourself a trapezoid there, honey. With two parallel sides of different lengths, you can bet your bottom dollar it's not your run-of-the-mill square or rectangle. So, go ahead and strut your stuff knowing you've identified that sassy four-sided shape!

The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.

``Orthocentre'' was invented by two mathematicians, Besant and Ferrers, in 1865, while out for a walk along the Trumpington Road, a road leading out of Cambridge toward London. In those days it was a tree-lined quiet road with a sidewalk, a favourite place for a conversational walk."

From Mathematical Gazette, Feb 1962, pp 51

The perimeter of a square with an area of 9 square feet is: 12 feet.

You could be a community building advisor. The area around you is a triangle, and there are schools at each vertex. You want to find out where to put the bus station so that there is equal distance from all the schools to the bus station.

Does that help

The radius and circumference of a circle are related as C=2*pi*R (* stands for multiplication) where C is the circumference(=12 inches in the given case), R is the radius(to be found out) and 'pi' is a constant whose value is approximately 3.141592654. To find R the formula becomes R=C/(2*pi). Substituting 12 inches for C and the value of 'pi' we arrive at the following result:

R or radius=12/(2*3.141592654)=1.909859317 inches.

A 300-sided shape is called a trihectacosagon. The prefix "tri" denotes three hundred, while "hecta" signifies one hundred, and "cosi" represents twenty. Therefore, a trihectacosagon is a polygon with 300 sides.

is called the 'origin' , and has the co-ordinates of (0,0)

Ah, the 's' in V equals s cubed stands for the side length of a cube. When we say V equals s cubed, we're talking about the volume of a cube, which is calculated by multiplying the side length by itself three times. It's a beautiful way to express the relationship between the volume and the side length of a cube.

It would look a bit weird, but the only way to achieve this is by curving the sides or by making a concave hexagon.

The simplest shape that can have 2 right angles is a rectangle or a square. You can make an unlimited number of more complex shapes, though. A house shape is a pentagon with 2 right angles--you could even make it with 3 right angles.

The number of triangles that can be formed within a regular polygon depends on the number of sides the polygon has. For an n-sided polygon, where n is greater than or equal to 3, you can form n-2 triangles within the polygon. This is because each triangle is formed by connecting one vertex to any other two non-adjacent vertices. So, for example, in a regular pentagon (5-sided polygon), you can form 5-2 = 3 triangles.

The equation for the circumference of a circle is Pi x D (Pi multiplied by the diameter).

So, if you mean the circle has a diameter of 12 feet, then we must multiply 12 by Pi. (Pi is approximately 3.14)

So the circumference is 12 x 3.14 = 37.68 feet, or a bit over 37' 8".

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The surface area of a rectangular prism can be calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism, respectively. This formula accounts for the two faces of each dimension (length, width, and height) on the rectangular prism.

Ah, what a lovely question! To find the circumference of a cylinder, you'll want to use the formula 2πr, where r is the radius of the cylinder. Since the diameter is 16 inches, the radius would be half of that, which is 8 inches. So, the circumference would be 2 x π x 8, which is approximately 50.24 inches. Keep painting with those happy little numbers!

To find the radius of a circle with a circumference of 20 inches, you can use the formula for circumference: C = 2πr, where C is the circumference and r is the radius. Given that the circumference is 20 inches, you can plug this value into the formula: 20 = 2πr. Solving for r, you get r = 20 / (2π) ≈ 3.183 inches. Therefore, the radius of the circle is approximately 3.183 inches.