A cube has a volume of 1 cm3.
How long are the cube's edges?
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A cube has a volume of 1 cm3.
How long are the cube's edges?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The volume of a cube is given by the formula , where is the edge length.
Step 2: We are given the volume . Therefore, we have .
Step 3: To find , we take the cube root of both sides of the equation:
.
Thus, the edge length of the cube is .
cm
Identify the correct 2D pattern of the given cuboid:
Because volume is three-dimensional! A cube has length × width × height, and since all sides are equal, we have a × a × a = a³. To undo cubing, we need the cube root.
You'll get a decimal answer! For example, if V = 2 cm³, then edge length = ∛2 ≈ 1.26 cm. Use a calculator for cube roots that aren't whole numbers.
Squares are 2D (area = side²), so you use square root. Cubes are 3D (volume = side³), so you use cube root. Different dimensions need different operations!
Yes! Simply multiply your answer by itself three times. If edge = 1 cm, then 1 × 1 × 1 = 1 cm³. This should equal the original volume.
The symbol ∛ means cube root - it asks 'what number times itself three times gives this result?' So ∛8 asks 'what number × itself × itself = 8?' The answer is 2.
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