Geometric Relationships in Three-Dimensional Shapes Quiz

Test your knowledge on cubes, tetrahedrons, cylinders & more! Explore geometric relationships in 3D shapes. Find answers & explanations.

#1

Which of the following is true about a cube?

All faces are parallelograms
All faces are squares
It has 8 vertices
It has 6 edges
#2

What is the sum of the interior angles of a tetrahedron?

360 degrees
180 degrees
270 degrees
720 degrees
#3

What is the volume of a cube with side length 5 units?

25 cubic units
100 cubic units
125 cubic units
75 cubic units
#4

How many faces does a dodecahedron have?

6
8
10
12
#5

What is the surface area of a cylinder with radius 4 units and height 6 units?

24π square units
48π square units
96π square units
64π square units
#6

Which of the following statements about a cone is true?

All edges are equal in length
It has no vertices
It has a circular base
It has 8 faces
#7

What is the name of a three-dimensional shape with 12 edges and 8 vertices?

Cuboid
Octahedron
Dodecahedron
Hexahedron
#8

If the length, width, and height of a rectangular prism are all different, how many distinct diagonals does it have?

6
9
12
15
#9

What is the total number of edges in a triangular prism?

6
9
12
15
#10

Which of the following is a property of a regular pyramid?

All edges are equal in length
All faces are rectangles
It has no vertex
It has no base
#11

What is the total number of diagonals in a regular octahedron?

9
12
18
24
#12

If the lengths of all edges of a regular tetrahedron are tripled, how many times does its volume increase?

3 times
9 times
27 times
81 times
#13

Which of the following is not a polyhedron?

Cube
Cone
Sphere
Tetrahedron
#14

What is the maximum number of faces shared by two tetrahedra?

4
6
8
10
#15

Which of the following statements about a sphere is true?

It has 6 faces
It has 12 edges
It has no vertices
It has a circular base
#16

What is the name of a three-dimensional shape with 20 faces and 12 vertices?

Icosahedron
Pentagonal prism
Dodecahedron
Octahedron
#17

How many faces does a pentagonal pyramid have?

5
6
7
8

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