Question

what is the volume of the cube? 7 cm 21 cm³ 49 cm³ 147 cm³ 343 cm³

Explanation:

Step1: Recall the formula for the volume of a cube

The volume \( V \) of a cube is given by the formula \( V = s^3 \), where \( s \) is the length of a side.

Step2: Identify the side length of the cube

From the diagram, the side length \( s \) of the cube is \( 7 \) cm.

Step3: Calculate the volume

Substitute \( s = 7 \) into the formula: \( V = 7^3 \).
Calculate \( 7^3 = 7 \times 7 \times 7 = 343 \).
So the volume of the cube is \( 343 \, \text{cm}^3 \).

Answer:

D. \( 343 \, \text{cm}^3 \)