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Grade 12 Math: Cubes Worksheet

This worksheet focuses on properties, surface area, and volume of cubes for Grade 12 mathematics.

Grade 12 Math GeometryGeometry 3D ShapesCubes
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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
8 sections · Free to use · Printable
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Grade 12 Math: Cubes Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Consider a cube with side length 's'.

sss

a) How many faces does a cube have?

b) How many edges does a cube have?

c) How many vertices does a cube have?

2. Complete the following formulas for a cube with side length 's':

a) The surface area of a cube is given by the formula:  .

b) The volume of a cube is given by the formula:  .

c) The length of the space diagonal of a cube is given by the formula:  .

3. A Rubik's Cube has a side length of 5.7 cm. Calculate its total surface area and volume.

5.7 cm

a) Surface Area:

b) Volume:

4. If the volume of a cube is 216 cm³, what is the length of one of its sides?

a

4 cm

b

6 cm

c

8 cm

d

12 cm

5. A gift box is in the shape of a cube. If the total surface area of the box is 150 square inches, what is the volume of the box?

6. A cube is a special type of rectangular prism where all sides are equal.

T

True

F

False