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Base area of a hexagonal prism9/17/2023 ![]() ![]() ![]() It has different properties, such as its length, width, and height, as well as the lengths of its diagonals, the area of its hexagonal bases, and the length of its four rectangles on the sides. In summary, a hexagonal prism is a 3D geometric shape with six faces and eight vertices. The total number of edges and vertices of a hexagonal prism are 12 and 8, respectively. The length of the diagonals of the hexagonal bases, the area of one hexagonal base, and the length of the four rectangles on the sides of the prism can also be calculated. The volume of a hexagonal prism can be calculated by multiplying the area of the hexagonal bases by the height of the prism. The faces of a hexagonal prism are comprised of six rectangular sides and two hexagonal bases. It is a type of polyhedron, which is a 3D shape with flat faces and straight edges. SummaryĪ hexagonal prism is a 3D geometric shape that has six faces and eight vertices. Calculate the total number of vertices of a hexagonal prism.Īnswer: The total number of vertices of a hexagonal prism is 8. ![]() Calculate the total number of edges of a hexagonal prism.Īnswer: The total number of edges of a hexagonal prism is 12.Ħ. Calculate the length of the four rectangles on the sides of a hexagonal prism with a height of 9 cm.Īnswer: The length of the four rectangles on the sides of the prism is 9 cm.ĥ. Calculate the area of one hexagonal base of a hexagonal prism with a base side length of 6 cm.Īnswer: The area of one hexagonal base is 27.71 cm 2.Ĥ. Calculate the length of the diagonals of the hexagonal bases of a hexagonal prism with a base side length of 5 cm.Īnswer: The length of the diagonals of the hexagonal bases is 8.66 cm.ģ. Calculate the volume of a hexagonal prism with a base side length of 7 cm and a height of 10 cm.Īnswer: The volume of the hexagonal prism is 490 cm 3.Ģ. The height of the prism is the length of the four rectangles on the sides of the prism. The area of each base is calculated by multiplying the length of one side of the hexagon by the length of the diagonal. The volume of a hexagonal prism is the total space inside the prism, and it can be calculated by multiplying the area of the hexagonal bases by the height of the prism. How to Calculate the Volume of a Hexagonal Prism The diagonals of the hexagonal bases are all the same length, and the diagonals of the rectangles on the sides of the prism are also all the same length. The two hexagonal bases of the hexagonal prism are parallel to each other, and the four rectangles on the sides of the prism are also parallel to each other. The length of the prism is the distance between the two hexagonal bases, and the width is the length of each side of the hexagonal bases. Properties of a Hexagonal PrismĪ hexagonal prism is a three-dimensional shape, which means that it has length, width, and height. The four rectangles on the sides of the prism are all the same length, whereas the two rectangles on the ends of the prism have different lengths. The two hexagonal bases of the prism have equal sides, but the rectangles have different lengths. The six faces of the hexagonal prism are all rectangles with different lengths. The vertices of a hexagonal prism are made up of three sets of four vertices each, with each set forming a regular hexagon. The edges are the straight lines that connect the vertices, and the faces are the flat surfaces of the prism. The Components of a Hexagonal PrismĪ hexagonal prism has eight vertices, twelve edges, and six faces. Since we’re dealing in volume, our units are cubed.Īnd we can say that the volume of this oblique hexagonal prism is 15625 centimeters cubed.A hexagonal prism is a 3D geometric shape that has six faces and eight vertices. When we multiply 125 by 125, we get 15625. To find the volume then, we multiply the area of the base, 125 centimeters squared, times the height, 125 centimeters. And the perpendicular height is equal to 125 centimeters. We’re given that the area of the base is 125 centimeters squared. That’s the perpendicular distance between the two bases, which would be this distance on our sketch. The ℎ represents the perpendicular height. If volume is equal to capital □ times ℎ, capital □ is the area of the base. Just like the volume of any other solid, the volume of an oblique prism is equal to the area of the base times the height. And the lateral faces are parallelograms. In any oblique prism, the bases are not aligned when directly above the other. Determine the volume of an oblique hexagonal prism, with a base area of 125 square centimeters and a perpendicular height of 125 centimeters. ![]()
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