Frustrum vs. Frustum — Which is Correct Spelling?
By Tayyaba Rehman — Updated on March 21, 2024
"Frustrum" is an incorrect spelling. The right form is "Frustum," which refers to a section of a solid geometric figure.
Table of Contents
Which is correct: Frustrum or Frustum
How to spell Frustum?
Frustrum
Incorrect Spelling
Frustum
Correct Spelling
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Key Differences
Picture a truncated cone or pyramid, the true representation of a frustum.
Mentally link "frustum" with "must" - both contain "ust."
Recall that "frustum" is close to "custum" like "custom."
Think "frust" as in "trust" without the "r."
"Frustrum" sounds like "frustrate," but geometry shouldn't frustrate you. Drop the "r"!
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How Do You Spell Frustum Correctly?
Incorrect: A frustrum shape is created when a pyramid is sliced parallel to its base.
Correct: A frustum shape is created when a pyramid is sliced parallel to its base.
Incorrect: Engineers use the properties of a frustrum in designing certain structures.
Correct: Engineers use the properties of a frustum in designing certain structures.
Incorrect: In architecture, a frustrum is often seen in column designs.
Correct: In architecture, a frustum is often seen in column designs.
Incorrect: The frustrum of a cone is used in various mathematical calculations.
Correct: The frustum of a cone is used in various mathematical calculations.
Incorrect: The volume of a frustrum can be calculated using a specific formula.
Correct: The volume of a frustum can be calculated using a specific formula.
Frustum Definitions
A section of a cone or pyramid between two parallel planes cutting it.
Cutting a cone parallel to its base results in a frustum.
Specifically in geometry, the part between the base and a section of a cone or a pyramid.
Calculating the volume of a frustum requires specific formulas.
A solid figure generated by the rotation of a trapezoid about one of its parallel sides.
In mathematics, they studied the rotation of a frustum.
The portion of a solid left after its top has been cut off.
The frustum was all that remained after the tip was sliced off.
Represents the truncated part of geometric shapes.
The frustum's volume can be found using the areas of its two parallel faces.
In geometry, a frustum (borrowed from the Latin for “morsel”, plural: frusta or frustums) is the portion of a solid (normally a cone or pyramid) that lies between one or two parallel planes cutting it. A right frustum is a parallel truncation of a right pyramid or right cone.In computer graphics, the viewing frustum is the three-dimensional region which is visible on the screen.
The part of a solid, such as a cone or pyramid, between two parallel planes cutting the solid, especially the section between the base and a plane parallel to the base.
A cone or pyramid whose tip has been truncated by a plane parallel to its base.
A portion of a sphere, or in general any solid, delimited by two parallel planes.
The part of a solid next the base, formed by cutting off the, top; or the part of any solid, as of a cone, pyramid, etc., between two planes, which may be either parallel or inclined to each other.
One of the drums of the shaft of a column.
A truncated cone or pyramid; the part that is left when a cone or pyramid is cut by a plane parallel to the base and the apical part is removed
Frustum Meaning in a Sentence
The frustum of a cone is a common shape in geometry.
A frustum is formed by cutting a pyramid or cone with a plane parallel to its base.
The lampshade was shaped like the frustum of a cone, giving it an elegant look.
The frustum is a practical shape for containers because it allows easy stacking.
Engineers often consider the frustum shape for stability in construction projects.
Rocket nozzles often have a frustum shape to efficiently direct exhaust gases.
Calculating the surface area of a frustum requires knowledge of its radii and height.
In 3D graphics programming, the viewing frustum is used to represent the visible area.
Water towers are sometimes designed as a frustum for structural efficiency.
Cake tiers are sometimes shaped as a frustum for decorative purposes.
In physics, the frustum concept is applied in calculating pressures in fluids.
The frustum shape can be seen in everyday objects, from buckets to drinking glasses.
Architectural columns may feature a frustum shape at their bases or capitals.
The Great Pyramid of Giza can be thought of as a frustum if its missing capstone is considered.
The volume formula for a frustum is an important concept in calculus.
The frustum form is utilized in the design of certain types of loudspeakers.
Understanding the frustum is essential for students studying architectural engineering.
The frustum shape is advantageous in silo design, allowing for better material flow.
The challenge in crafting a frustum-shaped vase lies in achieving the perfect curvature.
When viewed from the side, a mountain may resemble a frustum.
Ancient temples sometimes employed the frustum shape in their tiered designs.
Mathematical models of volcanoes often use a frustum to approximate their shape.
Common Curiosities
Why is it called Frustum?
It's derived from the Latin word "frustum" meaning "a piece" or "a fragment."
What is the pronunciation of Frustum?
It's pronounced as /ˈfrʌs.təm/.
What is the verb form of Frustum?
There isn't a verb form for "frustum." It's a noun.
What is the root word of Frustum?
The root is the Latin word "frustum."
Which conjunction is used with Frustum?
No specific conjunction is exclusively used with "frustum."
What is the plural form of Frustum?
The plural form is "frusta" or "frustums."
What is the singular form of Frustum?
"Frustum" is already in its singular form.
Which vowel is used before Frustum?
The indefinite article "a" is used before "frustum."
Which preposition is used with Frustum?
"Of" as in "frustum of a cone."
Which article is used with Frustum?
Both "a" and "the" can be used depending on context.
Is Frustum a negative or positive word?
It's neutral; it simply describes a geometric concept.
Is Frustum an adverb?
No.
Is Frustum a countable noun?
Yes, you can have one frustum, two frusta, etc.
Is Frustum a vowel or consonant?
The word "frustum" contains both vowels and consonants.
Is Frustum a collective noun?
No.
What part of speech is Frustum?
Noun.
How many syllables are in Frustum?
Two syllables.
What is a stressed syllable in Frustum?
The first syllable, "Frus," is stressed.
What is another term for Frustum?
Truncated cone or pyramid.
What is the opposite of Frustum?
There isn't a direct opposite, but the complete shape (like the entire cone or pyramid) could be contrasted with a frustum.
Is the word Frustum imperative?
No.
How is Frustum used in a sentence?
"When a pyramid is sliced horizontally, the bottom portion is called a frustum."
Is Frustum a noun or adjective?
"Frustum" is a noun.
Is Frustum an abstract noun?
No, it's a concrete noun, representing a tangible geometric shape.
Which determiner is used with Frustum?
Determiners like "this," "that," "my," or "each" can be used.
Is the Frustum term a metaphor?
Not typically, but it could be used metaphorically in specific contexts.
Is the word Frustum a gerund?
No.
Is the word “Frustum” a Direct object or an Indirect object?
It can be used as a direct object, e.g., "He calculated the volume of the frustum."
How do we divide Frustum into syllables?
Frus-tum.
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Tayyaba RehmanTayyaba Rehman is a distinguished writer, currently serving as a primary contributor to askdifference.com. As a researcher in semantics and etymology, Tayyaba's passion for the complexity of languages and their distinctions has found a perfect home on the platform. Tayyaba delves into the intricacies of language, distinguishing between commonly confused words and phrases, thereby providing clarity for readers worldwide.