---
title: "Six identical solid right pyramids, each with a square base of side length \\(a\\) and height \\(a/2\\), can be joined at their apexes to form a solid cube of side length \\(a\\). A point charge \\(+q\\) is placed precisely at one of the four corners of the square base of one such pyramid. What is the total electric flux \\(\\Phi_E\\) passing through the surfaces of this single pyramid due to the point charge?"
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url: "https://nerd-notes.com/ubq/118030/"
date_modified: "2026-08-04T08:03:05+00:00"
---

# Six identical solid right pyramids, each with a square base of side length \(a\) and height \(a/2\), can be joined at their apexes to form a solid cube of side length \(a\). A point charge \(+q\) is placed precisely at one of the four corners of the square base of one such pyramid. What is the total electric flux \(\Phi_E\) passing through the surfaces of this single pyramid due to the point charge?

Six identical solid right pyramids, each with a square base of side length \(a\) and height \(a/2\), can be joined at their apexes to form a solid cube of side length \(a\). A point charge \(+q\) is placed precisely at one of the four corners of the square base of one such pyramid. What is the total electric flux \(\Phi_E\) passing through the surfaces of this single pyramid due to the point charge?

![A perspective line drawing of a right pyramid with a square base of side length a and height a/2. The apex of the pyramid is positioned directly above the center of the square base. A small solid dot labeled +q is located at one of the four corners of the square base. Light dashed lines indicate five identical adjacent pyramids meeting at the central apex to form a cube of side length a.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830585-rt2Bc0.jpg)

- **A.** \(\dfrac{q}{24\varepsilon_0}\)
- **B.** \(\dfrac{q}{12\varepsilon_0}\)
- **C.** \(\dfrac{q}{8\varepsilon_0}\)
- **D.** \(\dfrac{q}{6\varepsilon_0}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118030/*