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Grade 11 Math: Volume and Surface Area of Cubes

This worksheet focuses on calculating the volume and surface area of cubes, including problem-solving and critical thinking questions for Grade 11 students.

Grade 11 Math GeometryVolume and Surface Area of Cubes
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.MG.A.1

Topics

mathgeometryvolumesurface areacubesgrade 11
8 sections · Free to use · Printable
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Grade 11 Math: Volume and Surface Area of Cubes

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Date:

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Consider a cube with a side length of 7 cm.

7 cm7 cm7 cm

a) Calculate its volume.

b) Calculate its surface area.

2. If the volume of a cube is 64 cm³, then the length of one of its sides is   cm.

3. The surface area of a cube with a side length of 's' is given by the formula  .

4. A cube has a surface area of 150 cm². What is the volume of the cube?

a

25 cm³

b

125 cm³

c

750 cm³

d

1500 cm³

5. A storage container is in the shape of a cube. If its volume is 216 m³, how much material was used to construct its exterior (surface area)?

6. Doubling the side length of a cube will double its volume.

T

True

F

False

7. A large cube is made up of 27 smaller identical cubes. If the surface area of one small cube is 6 cm², what is the volume of the large cube?