Question

1. neala has a fish tank with a volume of 343 cubic inches. what is the area of one of the cubes faces? first: find the side length ___________ inches second: now find the area of the face with that length! ______ in²

Explanation:

Step1: Find side - length of cube

The volume formula for a cube is $V = s^3$, where $V$ is volume and $s$ is side - length. Given $V = 343$ cubic inches, we solve for $s$: $s=\sqrt[3]{V}=\sqrt[3]{343}=7$ inches.

Step2: Find area of one face

The area formula for a face of a cube is $A=s^2$. Since $s = 7$ inches, then $A = 7^2=49$ square inches.

Answer:

First: 7
Second: 49