Exploring Cubes: Grade 10 Geometry Worksheet
This worksheet focuses on understanding the properties of cubes, including their volume, surface area, and diagonals, suitable for Grade 10 geometry students.
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Exploring Cubes: Grade 10 Geometry 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'.
a) Write the formula for the volume of the cube.
b) Write the formula for the surface area of the cube.
c) Write the formula for the length of the space diagonal of the cube.
2. A cube has faces, edges, and vertices.
3. All faces of a cube are .
4. If the volume of a cube is 64 cm³, what is the length of one of its sides?
2 cm
4 cm
8 cm
16 cm
5. Which of the following is NOT a property of a cube?
All faces are congruent squares.
It has 8 vertices.
It has 6 triangular faces.
All edges are of equal length.
6. A Rubik's cube has a side length of 5.7 cm. Calculate its total surface area.
7. If the space diagonal of a cube is 9√3 meters, find the volume of the cube.
8. A cube is a special type of rectangular prism.
True
False
9. All the diagonals on the faces of a cube are of equal length.
True
False
10. A large cube is made up of 27 smaller identical cubes. If the volume of the large cube is 216 cm³, what is the side length of one small cube?