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Volume and Surface Area of Cubes

A Grade 12 math worksheet focusing on calculating the volume and surface area of cubes, including problem-solving applications.

Grade 12 Math GeometryVolume and Surface Area of Cubes
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

Grade 12MathGeometryVolumeSurface AreaCubes
7 sections · Free to use · Printable
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Volume and Surface Area of Cubes

Name:

Date:

Score:

Read each question carefully and show all your work. Use the provided space for your answers. Round your answers to two decimal places where necessary.

1. A cube has a side length of 7 cm. Calculate its volume and surface area.

7 cm7 cm7 cm

Volume:

Surface Area:

2. If the volume of a cube is 216 cm³, what is the length of its side and its surface area?

Surface Area:

3. The formula for the volume of a cube is V =  , where 's' is the side length.

4. The surface area of a cube is calculated by the formula SA =  , where 's' is the side length.

5. A gift box is in the shape of a cube with a side length of 10 cm. How much wrapping paper is needed to cover the entire box (assuming no overlap)?

a

100 cm²

b

600 cm²

c

1000 cm²

d

6000 cm²

6. A large cube is made up of smaller unit cubes. If the large cube has a volume of 125 cubic units, and each unit cube has a side length of 1 unit, how many unit cubes make up the large cube? What is the surface area of the large cube?

Surface Area of large cube:

7. Doubling the side length of a cube doubles its volume.

T

True

F

False