Quiz about Solid Geometry

Question 1

The volume of a cylinder is $$90$$ cubic centimeters.

Which step can be performed to find the volume of a cone with the same radius and height as the cylinder?

Accepted Answer

Covalent bond

Answer

Divide the volume of the cylinder by 3

Answer

Divide the volume of the cone by 3

Answer

Divide the volume of the cylinder by the height

Answer

Divide the volume of the cylinder by the radius

Question 2

The volume of a cylinder is $$90$$ cubic centimeters.

Which step can be performed to find the volume of a cone with the same radius and height as the cylinder?

Accepted Answer

Covalent bond

Answer

divide the volume of the cylinder by 3

Answer

divide the volume of the cylinder by 6

Answer

divide the volume of the cylinder by the height

Answer

divide the volume of the cylinder by the radius

Question 3

Three vertices of parallelogram PQRS are shown:

$$Q(8,5), R(5,1), S(2,5)$$

Choose the correct option to find the reason in the table to complete the proof that shows that parallelogram PQRS is a rhombus.

![](http://admin.getprephub.com/media/editor/gp3_20230225205132876836.png)

Accepted Answer

Covalent bond

Answer

Property of a parallelogram

Answer

Definition of parallel lines

Answer

Definition of perpendicular lines

Answer

$$<P S R=90^{\circ}$$

Question 4

The planets in our solar system can be modeled using spheres. The diameters for Jupiter and Saturn are shown in the diagram.
![](http://admin.getprephub.com/media/editor/gp12_20230225210951248724.png)
The volume of Saturn is $$59.9 \%$$ the volume of Jupiter.

What is Saturn's diameter, d, in kilometers? Round your answer to the nearest thousandth.

Accepted Answer

Covalent bond

Answer

120530.34

Answer

60265.17

Answer

71492

Answer

142984

Question 5

A cross section of a right triangular prism is created by a plane cut through the points shown and is also perpendicular to the opposite base.

![](http://admin.getprephub.com/media/editor/gp13_20230225211025733828.png)
What is the most specific name of the shape representing the cross section?

Accepted Answer

Covalent bond

Answer

Rectangle

Answer

Triangle

Answer

Trapezoid

Answer

Parallelogram

Ohio State Solid Geometry High School Geometry Maths Problems and Solutions

Many students find Solid Geometry for High School Geometry particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Solid Geometry from Ohio State for High School Geometry preparation.