The components of the orthohedron - Examples, Exercises and Solutions

Parts of a Rectangular Prism

The rectangular prism is a three-dimensional figure composed of 66 rectangles.

Every rectangular prism has:
66 faces -> rectangles that make up the rectangular prism.
1212 edges -> (in length, width, and height).
88 vertices -> the corners where the edges meet.

Practice The components of the orthohedron

Exercise #1

The number of vertices in the cuboid is:

Video Solution

Answer

8 8

Exercise #2

The number of edges in the cuboid is:

Video Solution

Answer

12 12

Exercise #3

The number of faces in the cuboid is:

Video Solution

Answer

6 6

Exercise #4

The volume of the cuboid is es:

Video Solution

Answer

length X widthX height

Exercise #5

The quadrilateral of the cuboid is:

Video Solution

Answer

Rectangle

Exercise #1

Look at the cuboid in the figure.

Which of the following is an edge of the given cuboid?

AAABBBDDDCCCEEEGGGFFFHHH

Video Solution

Answer

EF

Exercise #2

How many diagonals identical to the dotted diagonal in the diagram are there in the rectangular prism?

Video Solution

Answer

4 4

Exercise #3

Look at the dotted diagonal in the figure below.

Which diagonals of the rectangular prism are equal?

AAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

AH,BG,FC AH,BG,FC

Exercise #4

Which of the line segments is the diagonal of the rectangular prism?

AAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

BH BH

Exercise #5

Which is the longest line indicated in the diagram?

aaabbbccc

Video Solution

Answer

c c

Exercise #1

Look at the cuboid below.

Which of the following answers is a face of the given cuboid?

AAABBBDDDCCCEEEGGGFFFHHH

Video Solution

Answer

EFHG

Exercise #2

The combined size of the angles between two edges of the cuboid is...?

Video Solution

Answer

90 90

Exercise #3

What is the longest segment of the rectangular prism in the diagram?

AAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

AG AG

Exercise #4

Look at the orthohedron in the figure below.

Which angle is between the diagonal BH and the face ABFE?

BBBCCCGGGFFFAAADDDHHHEEE

Video Solution

Answer

HBE HBE

Exercise #5

What does the angle in the figure represent?

AAABBBFFFEEEDDDCCCGGGHHH

Video Solution

Answer

The angle between the diagonal of the rectangular prism and its base.