A Shape That Has Six Sides – Select and click Query Options feature. A common form. B Some points with even pairs of sides are parallel. C Shapes with four or more lines of symmetry. D Figures with two or fewer lines of symmetry. E shapes with rotational symmetry order 2. F shapes with rotational symmetry order 1. G shapes that are pentagonal or hexagonal. H Points with at least two right angles. Click Start to select your question
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A Shape That Has Six Sides
5 Regular Forms. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
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6 Regular Forms. 3 1 4 2 5 6 8 7 9 12 11 10 16 18 17 13 14 15 Back to questions
7 B Some figures have pairs of parallel sides. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
8 B Some figures have pairs of parallel sides. 3 1 4 2 5 6 8 7 9 12 11 10 16 18 17 13 14 15 Back to questions
9 C shapes have four or more lines of symmetry. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
Hexagon Color Icon Six Sided Geometric Figure Decorative Graphic Element
10 C shapes with four or more lines of symmetry. 3 1 4 2 5 6 8 7 9 12 11 10 16 18 17 13 14 15 Back to questions
11 D Figures with two or fewer lines of symmetry. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
12 D Figures with two or fewer lines of symmetry. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
13 E Numbers with order of rotational symmetry 2. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions Press any key for answers
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14 E Figures with order of rotational symmetry 2. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
15 F Figures with rotational symmetry order 1. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions Press any key for answers
16 Figures with F rotational symmetry order 1. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
17 G shapes that are pentagonal or hexagonal. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
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18 G shapes that are pentagonal or hexagonal. 3 1 4 2 5 6 8 7 9 12 11 10 16 18 17 13 14 15 Back to questions
19 H Figures with at least two right angles. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
20 H Figures with at least two right angles. 3 1 4 2 5 6 8 7 12 9 11 10 16 18 17 13 14 15 Back to questions
We log user data and share it with processors to operate this website. To use this website, you must agree to our privacy policy, including our cookie policy. A two-dimensional shape has length and width. Three-dimensional solid form also has depth. By nature, three-dimensional figures are divided into inner and outer surfaces. All physical things, the things you touch, are three-dimensional.
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This sheet contains polygon-based solid objects with straight parts and curved lines such as globes, cylinders, and cones.
Polyhedra (or polyhedra) are straight-sided solid shapes. Polyhedra are polygons, two-dimensional plane shapes with straight lines.
Polyhedra are often defined by the number of edges, faces, and vertices, and the fact that their faces are the same shape and size. Like polygons, polygons can be regular (based on regular polygons) or irregular (based on irregular polygons). Polyhedra can be concave or convex.
One of the most basic and familiar polygons is the cube. A cube is a regular polygon with six square faces, 12 edges, and eight vertices.
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Five regular solids are a special class of polyhedra in which all faces are equal, and each face is a regular polygon. Platonic Solids:
A prism is any polygon with two congruent sides and plane sides. If you cut a prism anywhere along its length, parallel to the sides, the cross section will be the same – you get two prisms. The sides of a prism are parallelograms—four-sided figures in which two pairs are of equal length.
Antiprisms are like regular prisms except that their vertices meet. However, the sides of an antiprism are not parallelograms, but triangles. Antiprisms can be very complicated.
Although we think of pyramids as having a square base, like those built by the ancient Egyptians, they can actually be any polygonal base, regular or irregular. Furthermore, the apex of a pyramid may be directly in the center of its base, a right pyramid, and the apex may be off-center in the case of an inverted pyramid.
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A truncated cube (as shown in the figure) is an Archimedean solid with 14 faces. Six faces are regular octagons, and the other eight are regular (equilateral) triangles. A shape has 36 edges and 24 vertices (corners).
Solid shapes with curved or rounded edges are not polyhedral. Polyhedra can only have straight sides. See also our page on two-dimensional curved figures.
Many objects around you have at least some curves. In geometry, the most common curved solids are cylinders, cones, spheres, and tori (plural for torus).
A cylinder has the same cross section from one end to the other. A cylinder has two equal ends, either circular or oval. Although similar, cylinders are not prisms because prisms (by definition) have parallelograms, flat sides.
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A cone has a rounded or oval base and apex (or apex). The end of the cone tapers easily to the top. A cone is similar to a pyramid, but the cone differs in having curved sides and a circular base.
A sphere is a perfectly round object, shaped like a ball or globe. Every point on the surface of a sphere is equidistant from the center of the sphere.
A regular ring torus shaped like a ring, wheel, or donut is formed by rotating a smaller circle around a larger circle. Tori has many complex forms.
Our Calculate Area page explains how to work out the area of two-dimensional shapes, and you’ll need to understand these basics to calculate the surface area of three-dimensional shapes.
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You can use your knowledge of the area of two-dimensional shapes to calculate the surface area of a three-dimensional shape because each face or side is effectively a two-dimensional shape.
And so on. You can find more information about units of measurement on our Measurement Systems page.
The surface area of a cube is the area of one face (length x width) multiplied by 6, because all six faces are equal.
Since the faces of the cube are square, only one measurement is needed – the length and width of the square are, by definition, the same.
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. When we multiply the number of faces in the cube by 6, we find that the surface area of the cube is 600 cm.
Similarly, the surface area of other regular polyhedra (Platonic solids) can be worked out by finding the area of one side and multiplying the answer by the total number of sides – see the basic polyhedra diagram above.
To calculate the surface area of a standard pyramid with four equal triangular sides and a square base:
Then work out the area of one side (triangle). Measure the width at the base, then measure the height of the triangle (also called the slope length) from the center point of the base to the top.
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Finally, add the area of the base and sides to find the total surface area of the pyramid.
To calculate the surface area of other types of pyramids, we add the area of the base (called the base area) and the area of the sides (the lateral area). You may need to measure the sides
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