0
the area of a cross section of a prism with a cross section which is a regular hexagon is 10.4m^2. the volume of the prism is 8.84m^2. calculate the height of the prism?
just not to confuse you, here is the question more clearer:
A prism has a cross section that is a regular hexagon
The area of the cross section is 10.4m^2.
The volume of the prism is 8.84m^2.
Calculate the height of the prism.
Add your answer:
Earn +20 pts
Do you divide the height of the hexagon when you are make it in to a trapezoid?
The answer depends on whether or not the hexagon is regular, partly regular or totally irregular. In the last case it will not help. It also depends on whether you start off with a regular hexagon standing with one vertex above another or standing on one of its sides!
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.
How do you calculate the volume of a regular solid'?
Multiply the length by the width by 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 the calculate the volume of a regular shaped box?
height x length x width
What is the area of a hexagon?
There is no general formula as it depends upon the exact shape of the hexagon. To calculate the area would involve splitting the hexagon into regions which are shapes for which the area can be calculated (eg triangles). For a regular hexagon, it can be split up into 6 equilateral triangles by drawing in the three diagonals between opposite vertices - its area is then 6 times the areas of one of these triangles. If the side length is s, its area is given by: height of one of the triangles is found by Pythagoras to be (√3)/2 s = 6 × (½ × s × (√3)/2 × s) = (3√3)/2 × s²
A hexagon has a grid on it the height of the hexagon is 2units what would be the approximate area?
300 thak you:)
How do you find the height in the area of a hexagon?
first divide the hexagon into three parts a rectangle and two triangles then try to findthe areas of all and then take individual heights and add them to get the height of the hexagon
What is the height of a hexagon?
120 degrees.
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 to find volume of a hexagon?
The volume of a standard hexagon can be given by the product of 6 times the length of one side of the hexagon and the height. Note that for a hexagon to have volume, it must have another dimension that is height.
What is the apothem of a regular hexagon with sides of 16 inches?
We know that the height of an equilateral triangle equals the product of one half of the side length measure with square root of 3.Since in our regular hexagon we form 6 equilateral triangles with sides length of 16 inches, the apothem length equals to 8√3 inches.
