Geometry: Calculating the Width of a Rectangular Prism

What equation could be used to find the width of the rectangular prism?

a. 10 = 80w
b. 80 = 10w
c. 16 = 80w
d. 80 = 16w

Final answer:

The correct equation to use to find the width of the rectangular prism with a volume of 80 cu cm, length of 8 cm, and height of 2 cm is 80 = 16w (option d).

The question presented here deals with the mathematical concept of the geometry of a rectangular prism. In this case, we are given the volume of the rectangular prism as 80 cu cm, the length as 8 cm, and the height as 2 cm. To find the width of the rectangular prism, we can use the formula for volume of a rectangular prism, which is Volume = Length x Width x Height.

Given that the volume is 80 cu cm, the length is 8 cm, and the height is 2 cm, we can substitute these values into the formula. Rearranging the formula to solve for width, we get Width = Volume / (Length x Height). Plugging in the given values, we get Width = 80 cu cm / (8cm * 2cm), which simplifies to Width = 80 / 16, resulting in a width of 5 cm.

Therefore, the correct equation to find the width of the rectangular prism with the provided dimensions is 80 = 16w. By solving for the width using this equation, we can determine that the width of the rectangular prism is 5 cm.

Understanding the concepts of volume calculation and applying the appropriate formulas is crucial in solving geometric problems. By mastering the fundamentals of geometry, one can confidently tackle various mathematical challenges and enhance their problem-solving skills.