Question

volume is the amount of space inside a three - dimensional figure. you can find the volume of a figure by filling it with unit cubes. a unit cube has a volume of 1 cubic unit. which expression represents the volume of the cube shown? 3·3·3 3 + 3 + 3 3·3 3 + 3 (there is a cube image and a small cube image with the note that the small cube = 1 cubic unit)

Explanation:

Step1: Identify cube dimensions

The cube has side length 3 (visible from the unit cubes arrangement: 3 units along length, width, height).

Step2: Recall volume formula for cube

Volume of a cube is \( \text{side} \times \text{side} \times \text{side} \). For side length 3, this is \( 3 \cdot 3 \cdot 3 \).

Step3: Eliminate other options

• \( 3 + 3 + 3 \) is for perimeter/linear sum, not volume.
• \( 3 \cdot 3 \) is area (2D), not volume.
• \( 3 + 3 \) is linear sum, irrelevant.

Answer:

\( 3 \cdot 3 \cdot 3 \)