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

Verified step by step guidance

1. Identify the formula for the volume of a cube: \( V = a^3 \), where \( a \) is the edge length.
2. Substitute the given edge length into the formula: \( V = (2.5 \text{ cm})^3 \).
3. Calculate the cube of the edge length: \( 2.5 \times 2.5 \times 2.5 \).
4. The result will be in cubic centimeters (cm³), which is equivalent to milliliters (mL) since 1 cm³ = 1 mL.
5. Conclude that the volume of the cube is the calculated value in mL.

Key Concepts

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.

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.

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.