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Details for problem "Shapes 3d:Values and formulas for surface and volume"

Quickname: 2200

Suitable for K-12 grades: Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10

Elementary School, Primary School, Junior High School, Middle School, High School, Senior High School.


For three-dimensional geometric shapes, state the formula for the volume and/or surface area, or calculate these values.


For three-dimensional geometric shapes, state the formula for the volume and/or surface area, or calculate these values. (Beispiel für die Lösung) For three-dimensional geometric shapes, state the formula for the volume and/or surface area, or calculate these values. (Example for this math problem)


A series of three-dimensional geometric shapes is presented. There are several possible tasks available:

- calculate the values for the shape's surface area and/or volume,
- state the correct formula for the surface area and/or volume,
- or a mix of these.

It is configurable what is being asked for.

Possible shapes are:

- cube/cuboid
- prism
- (square) pyramid
- (regular) tetrahedron
- cylinder
- cone
- sphere

For every shape, it is selectable whether it will appear in the problem statement.

The shapes are shown in the form of a drawing with all required vertices and edges labeled and their values given. The size of the drawing can be chosen from two sizes.

Two levels of difficulty are available, "easy" and "intermediate": In the "easy" setting, he name of the shape is provided. Edges will always be labeled a,b,c,d,h,r, according to the type of edge and the nature of the shape. In the "intermediate" level, the name of the shape is not given, and edges will be randomly named.

All length, area and volume dimensions can be shown dimensionless, or with the respective units of length, area or volume. This is configurable.

Results can be rounded to the nearest whole number. Pi can be assumed to be 3.14 in value.

Topics: Geometry Units

Tags: Area Solid Geometry Units

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Customization options for this problem

Possible values
Number of problems
1, 2, 3, 4
Image size
small, large
surface area, volume, surface area or volume, surface area and volume
Level of difficulty
easy, intermediate
Ask for
formulas only, values only, formulas and values
no, single level, multi level
Yes, No
Yes, No
Yes, No
Yes, No
Yes, No
Yes, No
Yes, No

Similar problems

Name and direct link
Match geometric shapes and formulas for surface area and volume, formulas and shapes are both given
Match named or shown three-dimensional geometric shapes to the correct formula for volume or surface area.

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