Answer :
We are to find the side length of the box
Volume = Length * Breadth * Height
Volume of box = 450 cubic inches
Height of box = 2 inches
Length of box = x
Since it is a square prism, Breadth = Length = x
Therefore,
Volume = Length * Breadth * Height
⇒ 450 = 2 * x * x
⇒ 450 = 2x²
⇒ 2x² = 450
Divide the equation by 2
2x²/2 = 450/2
x² = 225
⇒√x² = √225
x = 15
The side length of the box is 15 inches
Answer:
C. The solutions are -15 and 15, but only 15 is a reasonable side length.
Step-by-step explanation:
The given equation is:
[tex]2x^{2} =450[/tex]
We need to solve this quadratic equation to find the correct answer.
[tex]2x^{2} =450\\x^{2}=\frac{450}{2}\\x^{2}=225\\x=\sqrt{225}=\±15[/tex]
As you can see, solutions are 15 and -15. However, when we talk about length, we always use positive numbers, because we cannot measure -15 inches.
Therefore, the correct answer is option C.