Solid figures

Solid figures are objects in three-dimensional space. That means they have width, length and height. There are many kinds of solid figures, but the basic types are: spheres, prisms, cylinders, pyramids and cones. They have several components – faces, edges and a base. Faces are the flat surfaces on the solid figure. They can be in different shapes – circles, triangles, rectangles and squares. The only solid figures that do not have faces are spheres.

solid figures

Bases are sides and polygons by which the figure is named and edges are the line segments where two segments of a solid figure meet. We will now describe to you the kinds you will encounter most often.

Spheres

Spheres are perfectly round three-dimensional geometrical objects. It is completely symmetrical around its center, which means that all points on its surface are equally distant from its center. Since it resembles a circle in any two-dimensional perspective, it shares some of its elements. As the circle, it also has a radius and a diameter. The radius (r ) is the distance from the center of the sphere to any point on its surface, while the diameter (d ) is the maximum straight distance through the sphere. It is also the only object without any straight surfaces.

In this phase of your education, you will have to know two things about spheres: how to calculate the volume of a sphere and how to determine the size of its surface area.

The volume of a sphere (V ) can be easily calculated by inserting the known radius of the sphere into this formula:

V = (4/3) * π * r3

The surface area of a sphere (A ) is calculated in a similar way, using this formula:

A = 4 * π * r2

 

Cylinders

Basically, a cylinder is an object whose surface is defined as being formed by the points that are at a fixed length from the imaginary axis that passes through the center of the two parallel circles which make the faces of the cylinder.

Cylinders have two circles for faces, one of them is a base. Its volume can be is calculated as the product of the surface of one of its bases and the height of the cylinder. The formula for this is:

V = π * h * r2

The surface area of a cylinder can be calculated using this equation:

A = 2 * π *r * (r+h)

 

Prisms

A prism is a polyhedron ( a three-dimensional  solid) , a geometric solid with flat faces and straight sides.  There are many kinds of prisms and they are mostly named with respect to the shape of its base. They can be triangular prisms ( a triangle as a base), rectangular, square prisms, pentagonal, hexagonal and so on.

Its volume can be calculated using the equation:

V = B * h

The surface area though depends on the type of prism. If it is a right prism, then the formula goes like this:

A = 2 * B + P * h

This is the basic information about the basic solid figures. There are very many of them and soon we hope to add most of them in the archive of this site and know what does viagra do. In the mean time, you can practice what you learned about solid figures so far with the help of our free math worksheets below.

Solid figures exams for teachers

Exam Name File Size Downloads Upload date
Prism
Solid figures – Prism – very easy 620.9 kB 4485 September 3, 2019
Solid figures – Prism – easy 455.8 kB 4293 September 3, 2019
Solid figures – Prism – medium 456.2 kB 4417 September 3, 2019
Solid figures – Prism – hard 716.1 kB 2634 September 3, 2019
Solid figures – Prism – very hard 702.6 kB 2467 September 3, 2019
Pyramid
Solid figures – Pyramid – very easy 659.9 kB 2865 September 3, 2019
Solid figures – Pyramid – easy 455.6 kB 2427 September 3, 2019
Solid figures – Pyramid – medium 455.7 kB 3063 September 3, 2019
Solid figures – Pyramid – hard 730.4 kB 2123 September 3, 2019
Solid figures – Pyramid – very hard 761.4 kB 2129 September 3, 2019
Cylinder
Solid figures – Cylinder – easy 455.2 kB 2971 September 3, 2019
Solid figures – Cylinder – medium 455.2 kB 3268 September 3, 2019
Solid figures – Cylinder – hard 640.2 kB 2468 September 3, 2019
Solid figures – Cylinder – very hard 636.7 kB 2208 September 3, 2019
Cones
Solid figures – Cones – easy 455 kB 3150 September 3, 2019
Solid figures – Cones – medium 455.1 kB 2579 September 3, 2019
Solid figures – Cones – hard 639.1 kB 2378 September 3, 2019
Solid figures – Cones – very hard 628.5 kB 2099 September 3, 2019
Spheres
Solid figures – Spheres – easy 455 kB 2778 September 3, 2019
Solid figures – Spheres – medium 455 kB 2431 September 3, 2019
Solid figures – Spheres – hard 634.2 kB 2223 September 3, 2019
Solid figures – Spheres – very hard 637.9 kB 2000 September 3, 2019
Complete
Solid figures – Complete – very easy 647.7 kB 3531 September 3, 2019
Solid figures – Complete – easy 456.1 kB 3204 September 3, 2019
Solid figures – Complete – medium 456.1 kB 3506 September 3, 2019
Solid figures – Complete – hard 681.9 kB 2390 September 3, 2019
Solid figures – Complete – very hard 673.7 kB 2460 September 3, 2019

 

Solid figures worksheets for students

Worksheet Name File Size Downloads Upload date
Identify each prism, pyramid, cylinder, cone or sphere 8.6 MB 4932 September 3, 2019
Find the volume of each prism, pyramid, cylinder, cone or sphere 11.5 MB 5198 September 3, 2019
Find the surface area of each prism, pyramid, cylinder, cone or sphere 11.8 MB 3901 September 3, 2019