Question

(U.LL.2) A perfectly cube-shaped smelly candle has a volume of 125 cubic kilometers. What is the area of each side of the smelly candle?

Answer 1

25 square kilometers

Step-by-step explanation

the volume of a cube is given by:

`\begin{gathered} \text{Volume}=\text{side}\cdot\text{side}\cdot\text{side} \\ \text{volume}=(side)^3 \end{gathered}`

Step 1

Let

volume = 125 cubic kilometers

Step 2

replace and solve for "side"

`\begin{gathered} \text{Volume= side}^3 \\ 125km^3=side^3 \\ \text{cubic root in both sides} \\ \sqrt[3]{12}5km^3=\text{ }\sqrt[3]{side^3} \\ 5\text{ km= side} \end{gathered}`

Step 3

now, we have the length of a side, to find the area, make

Area of a square is

`\begin{gathered} \text{Area= side }\cdot side \\ \text{Area}=side^2 \end{gathered}`

replace to find the area

Let side = 5 km

`\begin{gathered} \text{Area}=(5km)^2 \\ \text{Area = 25 km}^2 \end{gathered}`