Grade 11 Math Worksheet: Cubes
This worksheet focuses on understanding and calculating properties of cubes, including volume, surface area, and diagonals, suitable for Grade 11 math students.
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Worksheet: Properties of Cubes
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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'. What are the formulas for its volume and total surface area?
2. Explain the difference between a face diagonal and a space diagonal of a cube.
3. A cube has a side length of 5 cm. Its volume is cm³ and its total surface area is cm².
4. If the volume of a cube is 64 m³, then its side length is m.
5. Which of the following statements about a cube is FALSE?
All faces are congruent squares.
It has 8 vertices and 12 edges.
A face diagonal is shorter than a side length.
Its surface area is 6 times the area of one face.
6. A cube has a space diagonal of length √75 cm. Calculate the side length of the cube.