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Grade 9 Math: Volume and Surface Area of Cubes

This worksheet focuses on calculating the volume and surface area of cubes, including problem-solving with given dimensions and working backwards from volume or surface area.

Grade 9 Math GeometryVolume and Surface Area of Cubes
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.G.C.9CCSS.MATH.CONTENT.HSG.GMD.A.3

Topics

mathgeometryvolumesurface areacubesgrade 9
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Grade 9 Math: Volume and Surface Area of Cubes

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Read each question carefully and show all your work. Remember the formulas for volume (V = s³) and surface area (SA = 6s²) of a cube, where 's' is the side length.

1. A Rubik's Cube has a side length of 5.6 cm. Calculate its volume and surface area.

5.6 cm

Volume:

Surface Area:

2. An ice cube has a side length of 2.5 cm. What is its volume?

3. If a cube has a side length of 's', its volume is given by the formula V =  .

4. The total surface area of a cube is calculated by the formula SA =  .

5. What is the surface area of a cube with a side length of 4 meters?

a

16 m²

b

24 m²

c

64 m²

d

96 m²

6. If the volume of a cube is 27 cm³, then its side length is 3 cm.

T

True

F

False

7. A cube has 8 faces.

T

True

F

False

8. An open-top cubical box has a side length of 10 cm. Calculate its surface area (remember it has no top).

9. A cube has a surface area of 150 cm². What is the length of one of its sides?