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What is the area of a regular hexagon with a side of 4 and an apothem of 3 46?
Easy. Since the side is the base and the apothem is the height of the triangle, multiply them and divide by two to get the area of the triangle. 3 * 3.46 = 10.38 /2 = 5.19. Then multiply by 6 to get the area of the hexagon. 5.19 * 6 = 31.14. You multiply by 6 because you can fit 6 regular triangles in a regular hexagon. We've already found the area of one regular triangle in the hexagon.
What is the volume of a regular hexagonal prism with a perimeter of 48 cm and a length of 15 cm?
For a regular hexagon: side_hexagon = perimeter ÷ 6 Area_hexagon = 3/2 × √3 × side² = 3/2 × √3 × (perimeter ÷ 6)² Volume_prism = area_hexagon × length = 3/2 × √3 × (48 cm ÷ 6)² × 15 cm = 3/2 × √3 × (8 cm)² × 15 cm = 3/2 × √3 × 64 cm² × 15 cm = 1440√3 cm³ ≈ 2494.2 cm³
What is the surface area of a regular pyramid with a base of 49 and slant height of 10?
It is not possible to answer the question because the shape of the base is not known. As a result the surface area of the base, and hence the total surface area cannot be calculated.
A regular pyramid has a base and vertex over the center of the base?
A regular pyramid has a regular polygon base and a vertex over the center of the base. By:Cherrylvr :)
What is the formula for area of a base and area of a triangle?
A base is normally a line and therefore has no area; the area of a triangle is half of base x altitude.
Find the area of a regular hexagon with a base of 10 and an apothem of 12?
14
What is the area of a regular hexagon with a side of 4 and an apothem of 3 46?
Easy. Since the side is the base and the apothem is the height of the triangle, multiply them and divide by two to get the area of the triangle. 3 * 3.46 = 10.38 /2 = 5.19. Then multiply by 6 to get the area of the hexagon. 5.19 * 6 = 31.14. You multiply by 6 because you can fit 6 regular triangles in a regular hexagon. We've already found the area of one regular triangle in the hexagon.
Hexagonal prism volume?
the formula to find the area of any prism is to find the area of the base (a regular hexagon, meaning that all sides and angles are the same) and multiply by the height of the prism. To find the area of a hexagon you multiply the apothem by the perimeter of the hexagon, and then divide that by 2. the apothem is a line from the center point to the center of any side, forming a right angle with a side, it doesn't matter which one. Once you find the area of the hexagon, multiply it with the height.
What is the formula for calculating the volume of a hexagonal shape?
First we assume it is a regular hexagon meaning all the angles are the same and the sides are the same length. Recalling that a regular hexagon can be broken up into 6 triangles, we find the area of the hexagon by finding the area of one triangle and multiply by six. (recall the area of triangle is Height x 1/2 Base ) You can also find the area of a hexagon using the formula Area==ap/2 where a is the apothem and p is the perimeter. But that just gives you the area of the 2 dimensional base, not the volume. To calculate the volume, multiply the area found above by the height of the hexagonal container.
How do you find the area of a hexagon without a side length?
To find the area of a Regular hexagon with side length (x) you need:1. The "radius" of the hexagon. (Just the length from the center to the outside edge.)2. The apothem. (which is only just half of the height of the base.)**If you don't have one or both of these you can't do it.**Steps:1. Make a triangle of the apothem (used as a) and the radius. (r)2. Use the Pythagorean Theorem to find 1 half of the side length.3. Multiply the actual side length by 6.4. Multiply that by a.5. The area is your answer.
What is the formula for finding the surface area of a hexagon?
Area of triangle = ½ base x altitude. Regular hexagon is 6 equal triangles so Area= 3 x base x altitude
What is the area of a regular octagon with a side length of 4 inches and an apothem length of 4.8 inches?
By joining all the vertices to the centre of the octagon, the apothem forms the height of the triangles with the side of the regular octagon as the base. This the area is 8 × area_triangles = 8 × ½ × side × apothem = 4 × side × apothem: Area_regular_octagon = 4 × side_length × apothem ≈ 4 × 4 in × 4.8 in = 76.8 in²
How can you find the area of a pentagon with a base height and a length?
To find the area of a pentagon when you have a base height and a length, you can divide the pentagon into simpler shapes, such as triangles and rectangles. If you know the base length and the height from the base to the top vertex, you can use the formula for the area of the pentagon: Area = (Perimeter × Apothem) / 2, or apply the formula for the area of individual shapes you've divided it into. If the pentagon is regular, you can also use the formula for the area of a regular pentagon: Area = (1/2) × Perimeter × Apothem.
What is the length of the apothem of a regular hexagon with 10 cm sides?
The hexagon will consist of 6 equilateral triangles of 3 equal sides of 10 cm and the apothem will divide the triangle into 2 right angle triangles with a base of 5 and an hypotenuse of 10 and so by using Pythagoras' theorem the height of the triangle which is the apothem works out as 5 times square root of 3 or about 8.66 cm rounded to 2 decimal places.
How do you find the volume of a pentagonial prism?
Volume is Area of the Base times the Height of the Prism. To find the area of a Regular Pentagon, you use the formula (1/2)*Perimeter*Length of Apothem.
What is area of shaded area if base is 8 and apothem is 5.51?
The answer depends on what part of the figure is shaded!
The area of a regular polygon with apothem a and perimeter P is?
Area = pa/2 Join each vertex to the centre of the n-sided regular polygon. Then the apothem a is the height of each of the isosceles triangles thus created (as each side between a vertex and the centre must be the same length) and their base is the side s of the polygon. Thus the area of the polygon is: Area = n x (sa/2) = nsa/2 But ns = the sum of all the side lengths = perimeter p. Thus: Area = pa/2 Note: for a hexagon, the triangles created are equilateral, but an equilateral triangle is a special case of an isosceles triangle in that the base is also the same length as the other two equal sides.
