Practice Questions on Diagonal of a Cube Formula

Q1: Find the body diagonal and face diagonal of cube of side 12 cm.

Q2: What is the length of the longest pole that you can fit inside a cubical room of side 4m?

Q3: What is the body diagonal of a cube whose face diagonal is 6 cm long?

Q4: What is the face diagonal and body diagonal of a cube whose volume is 216 cubic centimeters?

Q5: If the length of the body diagonal of a cube is 9 cm what is the length of its face diagonal?

Diagonal of a Cube Formula

Diagonal of a cube is the line segment joining the two non-adjacent vertices of a Cube. The diagonal of a cube formula helps us to calculate the length of diagonals in a cube. There are primarily two diagonals in a cube, namely face diagonals and body diagonals. In this article, we will learn the types of diagonals in a cube, the diagonal of a cube formula, the derivation of the diagonal of a cube formula, and problems based on it.

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What is a Diagonal of a Cube?

A diagonal of a cube is a line segment that joins the two opposite vertices of a cube. In general, a diagonal is a line segment that joins two opposite vertices in a polygon having more than three sides. Diagonals are not present in a triangle. A Cube is a three-dimensional solid figure whose all three dimensions i.e. length, breadth, and height are equal in measurement. Some of the examples of cubes that we can see in our daily life are ice cubes, Rubik’s cube, and the die of Ludo, etc. A Cube has 6 faces, 12 edges, and 8 vertices. Apart from faces, edges, and vertices, there are diagonals inside a cube....

Length of a Diagonal of a Cube

Formula for the Length of a Diagonal of a Cube is given for both faces as well as the body diagonal which is already discussed in the article. Let’s learn the formula for each diagonal as follows:...

Derivation of Diagonal of a Cube Formula

Since there are two types of body diagonals in a cube i.e. face diagonals and body diagonals. Their derivation has been carried out separately under separate headings....

Solved Examples of Diagonal of a Cube Formula

Example 1. Calculate the face diagonal of a cube of side length 2 m....

Practice Questions on Diagonal of a Cube Formula

Q1: Find the body diagonal and face diagonal of cube of side 12 cm....

FAQs on Diagonal of a Cube Formula

1. What is a Cube?...