Question

amelia builds a cube - shaped flowerpot that is 5 inches on each side. which expression represents the volume of amelias flowerpot? 5·5·5 what is the volume of amelias flowerpot? v = 125 in.³ let s equal the side length of a cube. which expression can you use to find the volume of a cube? s + s + s, s·s·s, s + s + s + s + s + s, 3·s

Explanation:

Step1: Recall Cube Volume Formula

The volume \( V \) of a cube is given by \( V = s \cdot s \cdot s \) (or \( V = s^3 \)), where \( s \) is the side length. For Amelia's flowerpot, \( s = 5 \) inches.

Step2: Identify Correct Expression

To find the volume expression, substitute \( s = 5 \) into the formula. So the expression is \( 5 \cdot 5 \cdot 5 \) (which is \( 5^3 \)).

Step3: Calculate Volume

Compute \( 5 \cdot 5 \cdot 5 \). First, \( 5 \cdot 5 = 25 \), then \( 25 \cdot 5 = 125 \). So the volume is \( 125 \) cubic inches.

Step4: General Cube Volume Expression

For a cube with side length \( s \), the volume formula is \( s \cdot s \cdot s \) (since volume of a rectangular prism is length×width×height, and for a cube, length = width = height = \( s \)).

Answer:

s:

• Expression for Amelia's flowerpot volume: \( 5 \cdot 5 \cdot 5 \)
• Volume of Amelia's flowerpot: \( 125 \) \( \text{in.}^3 \)
• Expression to find cube volume: \( s \cdot s \cdot s \)