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Volume Formulas - Printable Math Worksheets 10th Grade - Wayground

Volume Formulas

Joshua Hupe

Created by Joshua Hupe

20 questions

10th Grade

Math

Volume Formulas is a Grade 10 mathematics worksheet with 20 questions focused on identifying and applying volume formulas for rectangular prisms, cones, and cylinders. Students select the correct formula, calculate volume from given dimensions, use a cone’s volume to find its radius, distinguish radius from diameter, and round measurements using π = 3.14 when directed. The set includes one multiple-select item and 19 multiple-choice items, with answers expressed in appropriate cubic units. This free printable worksheet gives teachers a focused way to check whether students can connect three-dimensional measurements to the correct formula and complete the required numerical steps. Items include rectangular-prism dimensions in customary units, cone calculations with rounding, and cylinder problems involving either radius or diameter, including a candle-making context. An answer key is included for efficient review, independent practice, homework, or assessment after direct instruction on volume formulas.

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Volume Formulas

Total questions: 20

Name
Class
Date
1.

What is the formula for finding the volume of a rectangular prism?

a)

V=bh

b)

V = lw

c)

V=lwh

2.
Find the volume.

Find the volume.

a)

33 in3

b)

30 in3

c)

35 in3

3.
Find the volume.

Find the volume.

a)

1,800 yd3

b)

1,810 yd3

c)

1,820 yd3

4.

A rectangular prism has a length of 12 feet, a width of 4 feet and a height of 8 feet. What is the volume of the prism?

a)

384 cubic feet

b)

320 cubic feet

c)

400 cubic feet

d)

450 cubic feet

5.
What is the volume of the box if the box has a length of 30 inches, a width of 12 inches, and a height of 24 inches?
a)
8,640 in2
b)
8,640 in3
c)
66 in3
d)
66 in2
6.
What is the formula for Volume of a Cone?
a)
V=π r3h
b)
V=π r2h
c)
V=(1/3)π r2h
d)
V=(4/3)π r3
7.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

399.9 ft3

b)

1,199.9 ft3

c)

85.1 ft3

d)

324 ft3

8.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
9.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

666.7 mm3

b)

166.7 mm3

c)

47.6 mm3

d)

95.2 mm3

10.

If the volume of a cone is 24π in324\pi\ in^3 and its height is 8 in, find the radius of the cone.

a)

9 in

b)

24 in

c)

3 in

d)

8 in

11.
Find the volume. Use 3.14 as pi.

Find the volume. Use 3.14 as pi.

a)

157

b)

1570

c)

196.3

d)

785

12.
Find the volume of the cylinder with a diameter of 15. Use 3.14 for pi. Round to the nearest tenths.

Find the volume of the cylinder with a diameter of 15. Use 3.14 for pi. Round to the nearest tenths.

a)

3532.5

b)

883.1

c)

117.8

d)

235.5

13.

Ian is making candles. His cylindrical mold is 8 in. tall and has a base with a diameter of 3 in. Find the volume of a finished candle. Use 3.14 for pi. Round to the nearest tenths.

a)

37.7

b)

75.4

c)

226.1

d)

56.5

14.
Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.  
a)
810 cm3
b)
2543.4 cm3
c)
847.8 cm3
d)
2826 cm3
15.
Is the red line a radius or diameter of the circle?
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
16.
Is the red line a radius or diameter of the circle?
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
17.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
18.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
19.
V = 4/3⋅π⋅r3
a)
Sphere
b)
Cube
c)
Triangular Pyramid
d)
Rectangular Prism
20.
V = s3
a)
Cube
b)
Sphere
c)
Rectangular Prism
d)
Square Pyramid
WaygroundAnswer Key

Volume Formulas

Total questions: 20

1.
c)

V=lwh

2.
b)

30 in3

3.
a)

1,800 yd3

4.
a)

384 cubic feet

5.
b) 8,640 in3
6.
c) V=(1/3)π r2h
7.
a)

399.9 ft3

8.
b) 314 in3
9.
b)

166.7 mm3

10.
c)

3 in

11.
d)

785

12.
b)

883.1

13.
d)

56.5

14.
b) 2543.4 cm3
15.
a) Radius
16.
b) Diameter
17.
a) The volume of a cylinder
18.
a) square miles
19.
a) Sphere
20.
a) Cube

FAQs

What does the Volume Formulas worksheet cover?

This Grade 10 worksheet builds fluency with selecting and applying volume formulas for rectangular prisms, cones, and cylinders. Its 20 items include one multiple-select formula question and 19 multiple-choice questions that require students to calculate volume, use a cone’s volume to determine its radius, interpret radius and diameter, and round cone or cylinder answers when instructed.

How can I use this worksheet to teach volume formulas?

Introduce the rectangular-prism, cone, and cylinder formulas before assigning the worksheet, then model how to identify the needed dimensions and substitute them correctly. Have students explain why a cone calculation includes the one-third factor and why a diameter must be converted to a radius before using a cylinder formula. Use the formula-identification and radius-versus-diameter items as quick checks before students complete the numerical problems.

What mistakes should I watch for when students complete this volume worksheet?

Watch for students choosing V = bh or V = lw instead of V = lwh for a rectangular prism, omitting the one-third factor in the cone formula, or using a diameter as the radius in a cylinder calculation. Students may also confuse radius with diameter, select square rather than cubic units, or round cone and cylinder results incorrectly when the item specifies the nearest tenth and π = 3.14.

How do I assign and grade the Volume Formulas worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable version also gives classes an option for practicing the rectangular-prism, cone, and cylinder problems without screens.

How can I differentiate this volume formulas worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the formula-selection and volume-calculation items easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, helping students access the rectangular-prism, cone, cylinder, and radius-versus-diameter questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.