What is the volume in mL of a cube with an edge length of 2.5 cm?

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Identify the formula for the volume of a cube: \( V = a^3 \), where \( a \) is the edge length.

Substitute the given edge length into the formula: \( V = (2.5 \text{ cm})^3 \).

Calculate the cube of the edge length: \( 2.5 \times 2.5 \times 2.5 \).

The result will be in cubic centimeters (cm³), which is equivalent to milliliters (mL) since 1 cm³ = 1 mL.

Conclude that the volume of the cube is the calculated value in mL.

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Volume of a Cube

The volume of a cube is calculated using the formula V = a³, where 'a' is the length of one edge. This formula arises from the fact that a cube has equal dimensions on all sides, allowing for straightforward multiplication of the edge length by itself three times.

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02:35

Constant-Volume Calorimetry

Unit Conversion

In this question, the volume is initially calculated in cubic centimeters (cm³) since the edge length is given in centimeters. To express the volume in milliliters (mL), it is important to know that 1 cm³ is equivalent to 1 mL, facilitating a direct conversion without additional calculations.

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01:56

Conversion Factors

Dimensional Analysis

Dimensional analysis is a method used to convert units and ensure that equations are dimensionally consistent. In this context, it helps verify that the calculated volume in cm³ can be accurately expressed in mL, reinforcing the understanding of how different units relate to one another.

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