2025/09/20 14:16:18 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:16:18 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:16:18 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:16:18 [I] [SQL] SELECT count(*) FROM `release` WHERE repo_id=? AND is_draft=? []interface {}{4, false}
HTTP/1.1 200 OK
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Date: Sat, 20 Sep 2025 12:16:19 GMT
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\begin{frage}[4]%% Anzahl Punkte für diese Aufgabe
  Ein Schokoladehersteller will neu seine Kartonverpackung minimieren.
  Das Volumen der eingepackten Schokolade ist weiterhin 90~cm${}^3$.

  Weiterhin soll die Packung die Form eines regulären dreiseitigen
  Prismas aufweisen (s. Grafik).
  
\noTRAINER{
  \bbwCenterGraphic{10cm}{geom/stereometrie/extremwerte/img/PrismaMinimalOberflaeche.png}}
\TRAINER{
  \bbwCenterGraphic{4cm}{geom/stereometrie/extremwerte/img/PrismaMinimalOberflaeche.png}}


  {\tiny{Achtung: Die Grafik ist nicht maßstabsgetreu.}}

  Wie groß muss die Grundseite $s$ gewählt werden, sodass die
  Oberfläche bei gleichbleibendem Volumen von neunzig Kubikzentimetern
  minimal wird?

  \vspace{4mm}
  
  $s = \LoesungsRaum{7.1137866 =\sqrt[3]{4\cdot{}V} =\sqrt[3]{4\cdot{}90}}$~cm{}

\platzFuerBerechnungen{10}%%
\end{frage}%
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:16:19 [I] [SQL] SELECT count(*) FROM `release` WHERE repo_id=? AND is_draft=? []interface {}{4, false}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `email`=? LIMIT 1 []interface {}{"phi@freimann.eu"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `email`=? LIMIT 1 []interface {}{"git@gress.ly"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `uid`, `email`, `is_activated` FROM `email_address` WHERE `email`=? LIMIT 1 []interface {}{"git@gress.ly"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "4e4d145c001671b9b3bc97d90cd1963ec50a8388"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "6c0f1d54dc09e9ca164074517a9d6d00fd659640"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "238e7e2bb361e75b332a4c00d74fd17b11393385"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "1a39f360d491281d7cbe4c066f968f71907215bb"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "499cb2d9861a35486c93f6c665671b2ec9b3a03c"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "a46618f0abeb92f0b689dbe1d5d0aba5f80ad800"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "fc90550cff651fd25096e6f5f3c86eaac191f29a"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "dac7dcaf3d5df475caabe30a180ebc5927c61924"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "e755dd39bab73ee298e425fd1b07dde82a2663f6"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "45d3ec9fb341da0244d9933dd29e83998fafb45b"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "7687cd7b5c273fb0163d17083da28a20d01b71b3"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "634357c06cbfe955bf0bfee6d0fe8915c49a8dc1"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "899b68ccef48e660b2b9987eb5119e7c8901186a"}
2025/09/20 14:16:19 [I] [SQL] SELECT count(*) FROM `release` WHERE repo_id=? AND is_draft=? []interface {}{4, false}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `email`=? LIMIT 1 []interface {}{"phi@freimann.eu"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "46697fd102c4f835429ae6776aab38834cd48f30"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "aba01ab32fdc205b5d237b046079c6d545e3d836"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "e27e950554a926a0a36d2dbfc51f53c4a5192c9b"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "7687cd7b5c273fb0163d17083da28a20d01b71b3"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "634357c06cbfe955bf0bfee6d0fe8915c49a8dc1"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "05fd0960d1b05b797f0ae675fbcb83ee4a6aa504"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "3a33393cb4f1fe4d8497a46698f364dac700b30d"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "f66418152a148f6ccbce6b3acba55bcffc489a7a"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:16:19 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:16:19 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "027278f300bdbd0079861e0f96a42256055b1c27"}
