## Questions and Answers

What is the surface area of a cube with side length 10 millimeters?

600 square millimeters

What is the length of one side of a cube with a surface area of 24 square inches?

2 inches

What is the formula to find the volume of a cube?

V = s^3

If the surface area of a cube is 216 square centimeters, what is the length of one side?

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What is the volume of a cube with side length 8 millimeters?

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What is the shape of each face of a cube?

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How many faces does a cube have?

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What is the unit of measurement for the surface area of a cube?

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How do you calculate the surface area of a cube?

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What is the formula for the surface area of a cube?

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## Study Notes

### What is a Cube?

- A cube is a 3-dimensional geometric solid with 6 faces, each shaped like a square.
- Each face of a cube is congruent, or identical in size and shape.
- Examples of cubes include sugar cubes, dice, and children's alphabet blocks.

### Surface Area of a Cube

- Surface area is the number of unit squares needed to cover the outside surfaces of the solid.
- The surface area of a cube is the sum of the areas of its six faces.
- The formula to calculate the surface area of a cube is: SA = 6s^2, where SA is the surface area and s is the length of one side.

### Examples of Surface Area Calculation

- Example 1: Find the surface area of a child's cube-shaped block with a side length of 3 cm. Answer: 54 square cm.
- Example 2: Find the surface area of a sugar cube with a side length of 10 mm. Answer: 600 square mm.
- Example 3: Find the surface area of a cube-shaped gift box with a side length of 4 inches. Answer: 96 square inches.

### Finding the Length of One Side of a Cube

- The same formula (SA = 6s^2) can be used to find the length of one side of a cube if given the surface area.
- Example 1: Find the length of one side of a cube with a surface area of 24 square inches. Answer: 2 inches.
- Example 2: Find the length of one side of a cube with a surface area of 216 square cm. Answer: 6 cm.
- Example 3: Find the length of one side of a cube with a surface area of 150 square inches. Answer: 5 inches.

### Volume of a Cube

- The volume of a cube measures the amount of space inside the cube.
- The formula to calculate the volume of a cube is: V = s^3, where V is the volume and s is the length of one side.
- Example: Find the volume of a single cube-shaped die with a side length of 8 mm. Answer: 512 cubic mm.

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## Description

A quiz about the definition, properties, and measurements of a cube, a 3-dimensional geometric solid with 6 square faces.