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Grade 10 Math: Volume and Surface Area Worksheet

This worksheet focuses on calculating the volume and surface area of various 3D shapes, including cubes, rectangular prisms, cylinders, spheres, and cones, for Grade 10 students.

Grade 10 Math GeometryVolume and Surface Area
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.GMD.B.4

Topics

MathGeometryVolumeSurface AreaGrade 10
7 sections · Free to use · Printable
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Grade 10 Math: Volume and Surface Area

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Date:

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Read each question carefully and show all your work. Use π ≈ 3.14 where necessary.

1. Calculate the volume and surface area of a cube with a side length of 7 cm.

7 cm7 cm7 cm

Volume:

Surface Area:

2. A rectangular prism has a length of 12 cm, a width of 5 cm, and a height of 8 cm. Find its volume and surface area.

12 cm8 cm5 cm

Volume:

Surface Area:

3. A cylinder has a radius of 4 cm and a height of 10 cm. Its volume is   cm³ and its surface area is   cm².

10 cm4 cm

4. A cone has a radius of 3 cm and a height of 4 cm. Its slant height is   cm. Its volume is   cm³ and its surface area is   cm².

3 cm4 cm

5. What is the volume of a sphere with a radius of 6 cm?

a

144π cm³

b

288π cm³

c

432π cm³

d

864π cm³

6. The surface area of a sphere is 100π cm². What is its radius?

a

5 cm

b

10 cm

c

25 cm

d

50 cm

7. Doubling the radius of a sphere will double its volume.

T

True

F

False

8. A cylindrical can has a volume of 320π cm³ and a height of 5 cm. What is the radius of the can? What is its surface area?