ANSWER
343 cubic feet
EXPLANATION
We have that each side of the cube-shaped candle has an area of 49 square feet.
The shape of the faces of a cube is a square. The area of a square is given as:
[tex]A=l^2[/tex]Where l = length of side of the face
Therefore, we have that:
[tex]\begin{gathered} 49=l^2 \\ =>\text{ l = }\sqrt{49}=\text{ 7 feet} \end{gathered}[/tex]The length of the sides of the cube is 7 feet, therefore, its volume is:
[tex]\begin{gathered} V=l^3 \\ V=7^3 \\ V\text{ = 343 cubic feet} \end{gathered}[/tex]