Question

a rectangular storage box holds four identical spherical ornaments placed side by side. the box is designed to fit the ornaments with minimal empty space. describe how you will find the remaining volume of space inside the box. complete the following statements by using the drag - down arrow to select your answer. first, calculate the using the formula for the volume of a. then, calculate the by using the formula for the volume of a and multiplying it by. finally, calculate the difference between the two volumes to find the.

Explanation:

To find the remaining volume of space inside the box, we first calculate the volume of the box (a rectangular prism). The formula for the volume of a rectangular prism is \(V = l\times w\times h\). Then, we calculate the volume of the four spherical ornaments. The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\), and we multiply this by 4 (since there are four ornaments). Finally, we find the difference between the volume of the box and the total volume of the ornaments to get the remaining volume of space.

Answer:

First, calculate the volume of the box using the formula for the volume of a rectangular prism.
Then, calculate the total volume of the ornaments by using the formula for the volume of a sphere and multiplying it by 4.
Finally, calculate the difference between the two volumes to find the remaining volume of space.