The rectangular prism is a three-dimensional figure composed of rectangles.
Parts of a Cuboid - Examples, Exercises and Solutions
Question Types:
Parts of a Rectangular Prism
Every rectangular prism has:
faces -> rectangles that make up the rectangular prism.
edges -> (in length, width, and height).
vertices -> the corners where the edges meet.
Practice Parts of a Cuboid
Question 1
How many edges does a cuboid have?
Question 2
Identify which of the following line segments is the diagonal of the rectangular prism?
Question 3
Look at the dotted diagonal in the figure below.
Which diagonals of the rectangular prism are equal?
Question 4
How many diagonals identical to the dotted diagonal in the diagram are there in the rectangular prism?
Question 5
Look at the cuboid in the figure.
Which of the following is an edge of the given cuboid?
Examples with solutions for Parts of a Cuboid
Exercise #1
How many edges does a cuboid have?
Video Solution
Step-by-Step Solution
"Edges" is the name of the box's sides. Since a box is a three-dimensional shape, we call these parts edges.
Counting the edges of a box, we can see that there arehas 12 edges:
Answer
Exercise #2
Identify which of the following line segments is the diagonal of the rectangular prism?
Video Solution
Step-by-Step Solution
A box diagonal is a diagonal that passes between two vertices that are not connected,
meaning, the diagonal passes through the box, and not on one of its edges.
Let's see which of the segments in the answers passes entirely through the box from end to end.
AC, HF and FC are all diagonals that lie on the edges of the box, therefore the segment that fits this description is BH.
Answer
Exercise #3
Look at the dotted diagonal in the figure below.
Which diagonals of the rectangular prism are equal?
Video Solution
Step-by-Step Solution
Let's look at the face AEHD
In it, there is another diagonal equal to ED, which is AH
Let's look at the face BFGC which is identical and equal to AEHD, in which there are two diagonals that are also equal to ED:
Answer
Exercise #4
How many diagonals identical to the dotted diagonal in the diagram are there in the rectangular prism?
Video Solution
Answer
Exercise #5
Look at the cuboid in the figure.
Which of the following is an edge of the given cuboid?
Video Solution
Answer
EF
Question 1
The number of faces in the cuboid is:
Question 2
The number of vertices in the cuboid is:
Question 3
The quadrilateral of the cuboid is:
Question 4
The volume of the cuboid is es:
Question 5
Which is the longest line indicated in the diagram?
Exercise #6
The number of faces in the cuboid is:
Video Solution
Answer
Exercise #7
The number of vertices in the cuboid is:
Video Solution
Answer
Exercise #8
The quadrilateral of the cuboid is:
Video Solution
Answer
Rectangle
Exercise #9
The volume of the cuboid is es:
Video Solution
Answer
length X widthX height
Exercise #10
Which is the longest line indicated in the diagram?
Video Solution
Answer
Question 1
Choose the dimensions that represent an orthohedron with a square base.
Question 2
Choose the dimensions that represent an orthohedron with a square base.
Question 3
Look at the cuboid below.
Which of the following answers is a face of the given cuboid?
Question 4
Look at the orthohedron in the figure below.
Which angle is between the diagonal BH and the face ABFE?
Question 5
The combined size of the angles between two edges of the cuboid is...?
Exercise #11
Choose the dimensions that represent an orthohedron with a square base.
Video Solution
Answer
Exercise #12
Choose the dimensions that represent an orthohedron with a square base.
Video Solution
Answer
Exercise #13
Look at the cuboid below.
Which of the following answers is a face of the given cuboid?
Video Solution
Answer
EFHG
Exercise #14
Look at the orthohedron in the figure below.
Which angle is between the diagonal BH and the face ABFE?
Video Solution
Answer
Exercise #15
The combined size of the angles between two edges of the cuboid is...?