Question

A company is packing an ornate cylindrical vase in a rectangular prism box. The box is a square based prism with the dimensions 8 inches by 8 inches by 12 inches. The Vase is a cylinder with a diameter of 8 inches and a height of 12 inches.

To ship it, the company puts Styrofoam peanuts around the outside of the vase to keep it stable

What is the approximate volume must be filled by the Styrofoam peanuts?

Question options:

165 cubic inches

187 cubic inches

548 cubic inches

603 cubic inches

Answer 1

165 in³

Explanation:

volume of rect prism - volume of cylinder

Vol (prism) = 8²×12 = 768

Vol (cyl) = 4²π×12 = 16×12π ≈ 603

768 - 603 = 168