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The prism – description

Source: licencja: CC 0.

Graniastosłup - opis

Learning objectives

Discussing the structure of the prism.

Drawing prisms.

Learning effect

  • You know the structure of the prism.

  • You can draw prisms.

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nagranie abstraktu

Prepare models of: the cuboid, the oblique prismoblique prismoblique prism and the right triangular prism. Your task is to notice the similarities in the structure of prisms and finding the differences between them. Make an association chain, where links illustrate information connected with the prismprismprism. Add the names and properties of the solids to your notes.

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nagranie abstraktu

The conclusions:

  • The right regular prismright regular prismright regular prism – has two bases with the shape of congruent polygons on parallel planes. The lateral faces are rectangles perpendicular to the bases.

  • The right prismright prismright prism – is the right regular prism whose base is an equilateral polygon (e.g. the right triangle, the square, the regular pentagon, the regular hexagon).

  • The oblique prismoblique prismoblique prism – its lateral faces are parallelograms. They are usually on planes, which are not perpendicular to their bases.

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nagranie abstraktu

Your task is to observe the method of drawing a model of a prism and the changes of the location of the prismprismprism on a plane. Next, draw your own prisms.

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Geogebra aplet - Rysowanie graniastosłupa. Galeria z opisami alternatywnymi poniżej.
Source: GroMar, licencja: CC BY 3.0.
Task 1
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nagranie abstraktu

Draw the right triangular prism and the right hexagonal prism.

Task 2
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nagranie abstraktu

Draw the oblique prismoblique prismoblique prism, whose base is the isosceles trapezoid.

Task 3
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nagranie abstraktu

The base of the right triangular prism is a triangle whose area is 363cm2. Calculate how many centimetres of wooden slat you need to build a model of the prismprismprism whose altitude is 9 cm.

Task 4
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nagranie abstraktu

Calculate the diagonal length of the right hexagonal prism whose base is 3 cm long and the altitude 8.

Task 5
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nagranie abstraktu

The n‑gonal prism is given. Find:

a) the number of bases,
b) the number of base edges,
c) the number of lateral faces,
d) the number of lateral edges,
e) the number of all faces,
f) the number of all edges,
g) the number of vertices.

Task 6
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nagranie abstraktu

Extra task:

What is the number of diagonals in:

a) the hexagonal prism,
b) the 100‑gonal prism,
c) the n‑gonal prism?

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nagranie abstraktu

Do some additional tasks.

Exercises

Exercise 1
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Wersja alternatywna ćwiczenia: Determine which sentence is true. Możliwe odpowiedzi: 1. The bottom base of the oblique prism has a different number of edges than the top base., 2. The base of the right square prism is any rectangle., 3. The cuboid is a right regular prism., 4. The base of the right prism may be an isosceles triangle.
zadanie
Source: GroMar, licencja: CC BY 3.0.
Exercise 2
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Wersja alternatywna ćwiczenia: Determine which sentences are true. Możliwe odpowiedzi: 1. There is a prism, which has got 5 lateral edges., 2. There is a prism, which has got 5 base edges., 3. There is a prism, which has got 5 vertices., 4. There is a prism, which has got 5 lateral faces.
zadanie
Source: GroMar, licencja: CC BY 3.0.
Exercise 3
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Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. graniastosłup - prism, 2. graniastosłup prosty - right regular prism , 3. graniastosłup prawidłowy - oblique prism, 4. graniastosłup pochyły - right prism
zadanie
Source: GroMar, licencja: CC BY 3.0.
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Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.

Glossary

oblique prism
oblique prism

graniastosłup pochyły

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wymowa w języku angielskim: oblique prism
prism
prism

graniastosłup

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wymowa w języku angielskim: prism
right regular prism
right regular prism

graniastosłup prawidłowy

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wymowa w języku angielskim: right regular prism
right prism
right prism

graniastosłup prosty

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wymowa w języku angielskim: right prism

Keywords

prismprismprism

right regular prismright regular prismright regular prism

oblique prismoblique prismoblique prism

right prismright prismright prism