Question

cube A has a volume of 125 cubic inches The Edge length of cube B measures 4.8 inches. which group is larger and why?select the corrects responses1. Cube A, because it's volume is greater than the volume of cube B 2. Cube A, because its surface area is greater than the volume of cube B 3. Cube B, because it's volume is greater than the volume of cube A4. Cube B, because its side length is greater than the side length of cube A

Answer 1

1. Cube A, because it's volume is greater than the volume of cube B

Step-by-step explanation:

Cube A

Volume = 125 cubic inches

`\begin{gathered} \text{Volume}=s^3(s=\text{side length)} \\ 125=s^3 \\ s^3=125 \\ s^3=5^3 \\ s=5\text{ inches} \end{gathered}`

Therefore:

`\begin{gathered} \text{Surface Area=}6s^2 \\ =6(5)^2 \\ =6*25 \\ =150\text{ square inches} \end{gathered}`

Cube B

The edge length, s = 4.8 inches.

`\begin{gathered} \text{Volume}=4.8^3=110.592\text{ cubic inches} \\ \text{Surface Area=}6(4.8)^2=138.24\text{ cubic inches} \end{gathered}`

We see that Cube A is the larger group because it's volume is greater than the volume of cube B.