Parts of a Cuboid - 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 Parts of a Cuboid

Examples with solutions for Parts of a Cuboid

Exercise #1

The number of edges in the cuboid is:

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.

A box has 12 edges:

Answer

12 12

Exercise #2

Look at the dotted diagonal in the figure below.

Which diagonals of the rectangular prism are equal?

AAABBBCCCDDDEEEFFFGGGHHH

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:

FC=BG=ED FC=BG=ED

Answer

AH,BG,FC AH,BG,FC

Exercise #3

The number of vertices in the cuboid is:

Video Solution

Answer

8 8

Exercise #4

The number of faces in the cuboid is:

Video Solution

Answer

6 6

Exercise #5

The volume of the cuboid is es:

Video Solution

Answer

length X widthX height

Exercise #6

The quadrilateral of the cuboid is:

Video Solution

Answer

Rectangle

Exercise #7

Look at the cuboid in the figure.

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

AAABBBDDDCCCEEEGGGFFFHHH

Video Solution

Answer

EF

Exercise #8

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

Video Solution

Answer

4 4

Exercise #9

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

AAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

BH BH

Exercise #10

Which is the longest line indicated in the diagram?

aaabbbccc

Video Solution

Answer

c c

Exercise #11

Look at the cuboid below.

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

AAABBBDDDCCCEEEGGGFFFHHH

Video Solution

Answer

EFHG

Exercise #12

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

Video Solution

Answer

90 90

Exercise #13

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

AAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

AG AG

Exercise #14

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 #15

What does the angle in the figure represent?

AAABBBFFFEEEDDDCCCGGGHHH

Video Solution

Answer

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

Topics learned in later sections

  1. Cuboids
  2. How to calculate the volume of a rectangular prism (orthohedron)
  3. How to calculate the surface area of a rectangular prism (orthohedron)
  4. Cubes