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What is the volume of the rectangular prism with dimensions 5cm, 4.5cm, and 3cm?

Mathematics

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Answer

67.5 cm3\text{67.5 cm}^3

Step-by-step solution

4 steps
  1. Identify the dimensions of the rectangular prism from the image.

    The length (ll) is 5 cm5 \text{ cm}.
    The width (ww) is 4.5 cm4.5 \text{ cm}.
    The height (hh) is 3 cm3 \text{ cm}.

  2. Recall the formula for the volume of a rectangular prism.

    The volume (VV) of a rectangular prism is given by the formula:

    V=l×w×hV = l \times w \times h
  3. Substitute the identified dimensions into the volume formula.

    V=5 cm×4.5 cm×3 cmV = 5 \text{ cm} \times 4.5 \text{ cm} \times 3 \text{ cm}
  4. Calculate the volume.

    First, multiply the length and width:

    5×4.5=22.55 \times 4.5 = 22.5

    Now, multiply this result by the height:

    V=22.5 cm2×3 cmV = 22.5 \text{ cm}^2 \times 3 \text{ cm} V=67.5 cm3V = 67.5 \text{ cm}^3

    The volume of the rectangular prism is 67.5 cm3\text{67.5 cm}^3.

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