wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Formulas Test Review

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

The amount of space a 3D shape occupies is called what?

(a)  

2.

The distance around a circle is called what?

(a)  

3.

The area of the outermost part of a 3D shape is called what?

(a)  

4.

The distance from the center of a circle to its surface is called what?

(a)  

5.

Draw the net of a cylinder.

6.

Draw the net of a cone.

7.

Select the option with the correct answers to the following question:

Solve for the radius, diameter, circumference, and area of the given circle.

a)

r= 8 cm

d= 4 cm

C= 8π8\pi  cm

A= 16π16\pi  cm3

b)

r= 4 cm

d= 8 cm

C= 8π8\pi cm  

A= 16π16\pi cm2

c)

r= 4 cm

d= 8 cm

C= 16π16\pi cm

A= 8π8\pi cm3

d)

r= 4 cm

d= 8 cm

C= 8π8\pi cm 

A= 8π8\pi cm2

8.

Find the surface area of the following rectangular prism by using its net.

(a)  

9.

Find the surface area of the cylinder by using its net. Round to the nearest hundredth.

(a)  

10.

What shape is formed by a slice parallel to the base of a triangular prism?

a)

Rectangle

b)

Square

c)

Triangle

d)

Circle

11.

What shape is formed when a slice perpendicular to the base is made to a triangular pyramid?

a)

Square

b)

Pyramid

c)

Rectangle

d)

Triangle

12.

Using the formula V= πr2h\pi r^2h  , find the volume of the cylinder. Round to the nearest tenth and use 3.14 for pi.

(a)  

13.

Using the formula V=BhV=Bh  , find the volume of the rectangular prism.

(a)  

14.

If the circumference of a circle is 6π6\pi  cm, then find the area of the circle.

(a)  

15.

If the area of a circle is 36π cm236\pi\ cm^2  , then find the circumference.

(a)  

16.

A spherical container with a radius of 4 feet is filled with a gas that costs $12 per

cubic yard. What is the total value of the gas in the container? Use 3.14 for pi and round to the nearest hundredth. VSphere=43πr3V_{Sphere}=\frac{4}{3}\pi r^3  

(a)  

17.

Find the surface area of a sphere if its diameter is 7 m. SASphere=4πr2SA_{Sphere}=4\pi r^2  Use 3.14 for pi. Round to the nearest hundredth.

(a)  

18.

Gomer has a super-jumbo-sized drip coffee maker. The beverage is produced as hot water

filters through a cone-shaped vessel containing coffee grounds. The cone has a height of

3 inches and diameter of one foot. Assuming that the cone is filled with water, and the

water is dripping out at a rate of 10 cu. in. per minute, how long will it take for all of the

water to pass through? VCone=13πr2hV_{Cone}=\frac{1}{3}\pi r^2h  Use 3.14 for pi. Round to the nearest whole number.

(a)  

19.

Aristotle stores his Kool-Aid in a cylindrical container with a diameter of 5.5 feet and a height of 8.25 feet. If the filled container springs a leak and the Kool-Aid is escaping at a rate of 8 cubic feet per hour, how long will it take before the container is empty? VCylinder=πr2hV_{Cylinder}=\pi r^2h  Use 3.14 for pi. Round to the nearest tenth.

(a)  

20.

The circumference of the moon is the approximate distance around a circle with radius 1,736 kilometers. Find the circumference of the moon. Use 3.14 for pi. Round to the nearest tenth. C=2πrC=2\pi r  

(a)