What is the volume of a cube with dimensions of 11 cm, 110 cm, and 110 cm expressed in cubic meters?

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To calculate the volume of a cube, you need to know its dimensions. In this case, we have the dimensions 11 cm, 110 cm, and 110 cm. However, it’s important to clarify that these dimensions do not constitute a typical cube since a cube has equal dimensions on all sides. Instead, this shape is a rectangular prism.

To find the volume, we use the formula for the volume of a rectangular prism:

Volume = length × width × height

Substituting the given dimensions into the formula:

Volume = 11 cm × 110 cm × 110 cm

Now, let’s perform the calculation:

  • First, calculate 11 cm × 110 cm:
  • 11 × 110 = 1210 cm²
  • Next, multiply that result by 110 cm:
  • 1210 cm² × 110 cm = 133100 cm³

Now we have the volume in cubic centimeters. To convert this volume into cubic meters, we use the conversion factor that 1 m³ is equal to 1,000,000 cm³:

Volume in m³ = Volume in cm³ ÷ 1,000,000

Thus, we can convert:

Volume in m³ = 133100 cm³ ÷ 1,000,000 = 0.1331 m³

So, the volume of the rectangular prism with the given dimensions of 11 cm, 110 cm, and 110 cm is 0.1331 cubic meters.

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