Question

1. carlos bought a cube - shaped aquarium. write an expression to represent the volume of the aquarium. 3s

Explanation:

Step1: Recall volume formula for cube

The volume $V$ of a cube is given by $V = s^3$, where $s$ is the side - length of the cube. Here the side - length of the cube - shaped aquarium is $3s$.

Step2: Substitute side - length into formula

Substitute $s = 3s$ into the volume formula. We get $V=(3s)^3$.
Using the power of a product rule $(ab)^n=a^n b^n$, where $a = 3$ and $b = s$ and $n = 3$, we have $(3s)^3=3^3\times s^3=27s^3$.

Answer:

$27s^3$