Life Storage 8-KEntry into a Material Definitive Agreement

As previously disclosed, on April 2, 2023, Life Storage, Inc. (“Life Storage”) and Life Storage LP (“Life Storage OP” and, together with Life Storage, the “Life Storage Parties”) entered into an Agreement and Plan of Merger (the “Merger Agreement”) with Extra Space Storage Inc., a Maryland corporation (“Extra Space”), Extra Space LP, a Delaware limited partnership (“Extra Space OP”), Eros Merger Sub, LLC, a Delaware limited liability company and a wholly owned subsidiary of Extra Space (“Extra Space Merger Sub”), Eros OP Merger Sub, LLC, a Delaware limited liability company and a wholly owned subsidiary of Extra Space OP (“Extra Space OP Merger Sub” and, together with Extra Space, Extra Space OP and Extra Space Merger Sub, the “Extra Space Parties”). The Merger Agreement provides for, subject to the terms and conditions thereof, the combination of Life Storage and Extra Space through a series of transactions including, among others, (i) a merger of Extra Space Merger Sub with and into Life Storage, with Life Storage continuing as the surviving entity and a wholly owned subsidiary of Extra Space (the “Company Merger”) and (ii) a merger of Extra Space OP Merger Sub with and into Life Storage OP, with Life Storage OP continuing as the surviving entity and a wholly owned indirect subsidiary of Extra Space OP (the “Partnership Merger” and, together with the Company Merger, the “Mergers”). The Merger Agreement is filed as Exhibit 2.1 to Life Storage’s Formfiled on April 3, 2023.

(d) Exhibits.

The statements in this communication that are not historical facts are forward-looking statements within the meaning of Section 27A of the Securities Act of 1933, as amended, and Section 21E of the Securities Exchange Act of 1934, as amended. These forward-looking statements are based on current expectations, estimates and projections about the industry and markets in which Life Storage and Extra Space operate as well as beliefs and assumptions of Life Storage and Extra Space. Such statements involve uncertainties that could significantly impact Life Storage’s or Extra Space’s financial results. Words such as “expects,” “anticipates,” “intends,” “plans,” “believes,” “seeks,” and “estimates,” including variations of such words and similar expressions, are intended to identify such forward-looking statements, which generally are not historical in nature. All statements that address operating performance, events or developments that Life Storage or Extra Space expects or anticipates will occur in the future — including statements relating to any possible transaction between Life Storage and Extra Space, acquisition and development activity, disposition activity, general conditions in the geographic areas where Life Storage or Extra Space operate, and Life Storage’s and Extra Space’s respective debt, capital structure and financial position — are forward-looking statements. These statements are not guarantees of future performance and involve certain risks, uncertainties and assumptions that are difficult to predict. Although Life Storage and Extra Space believe the expectations reflected in any forward-looking statements are based on reasonable assumptions, neither Life Storage nor Extra Space can give assurance that its expectations will be attained and, therefore, actual outcomes and results may differ materially from what is expressed or forecasted in such forward-looking statements. Some of the factors that may affect outcomes and results include, but are not limited to: (i) Life Storage’s and Extra Space’s ability to complete the proposed transaction on the proposed terms or on the anticipated timeline, or at all, including risks and uncertainties related to securing the necessary stockholder approvals and satisfaction of other closing conditions to consummate the proposed transaction; (ii) the occurrence of any event, change or other circumstance that could give rise to the termination of the merger agreement relating to the proposed transaction; (iii) risks related to diverting the attention of Life Storage and Extra Space management from ongoing business operations; (iv) failure to realize the expected benefits of the proposed transaction; (v) significant transaction costs and/or unknown or inestimable liabilities; (vi) the risk of shareholder litigation in connection with the proposed transaction, including resulting expense or delay; (vii) the risk that Life Storage’s business will not be integrated successfully or that such integration may be more difficult, time-consuming or costly than expected; (viii) risks related to future opportunities and plans for the combined company, including the uncertainty of expected future financial performance and results of the combined company following completion of the proposed transaction; (ix) the effect of the announcement of the proposed transaction on the ability of Life Storage and Extra Space to operate their respective businesses and retain and hire key personnel and to maintain favorable business relationships; (x) risks related to the market value of the Extra Space common stock to be issued in the proposed transaction; (xi) other risks related to the completion of the proposed transaction and actions related thereto; (xii) national, international, regional and local economic and political climates and conditions; (xiii) changes in global financial markets and interest rates; (xiv) increased or unanticipated competition for Life Storage’s or Extra Space’s properties; (xv) risks associated with acquisitions, dispositions and development of properties, including increased development costs due to additional regulatory requirements related to climate change; (xvi) maintenance of Real Estate Investment Trust status, tax structuring and changes in income tax laws and rates; (xvii) availability of financing and capital, the levels of debt that Life Storage and Extra Space maintain and their credit ratings; (xviii) environmental uncertainties, including risks of natural disasters; (xix) risks related to the coronavirus pandemic; and (xx) those additional factors discussed under Part I, Item 1A. Risk Factors in Life Storage’s and Extra Space’s respective Annual Reports onthe year ended December 31, 2022. Neither Life Storage nor Extra Space undertakes any duty to update any forward-looking statements appearing in this communication except as may be required by law.

In connection with the proposed transaction, Extra Space intends to file with the SEC a registration statement on Formwhich will include a document that serves as a prospectus of Extra Space and a joint proxy statement of Extra Space and Life Storage (the “joint proxy statement/prospectus”). Each party also plans to file other relevant documents with the SEC regarding the proposed transaction. INVESTORS AND SECURITY HOLDERS ARE URGED TO READ THE JOINT PROXY STATEMENT/PROSPECTUS AND OTHER RELEVANT DOCUMENTS FILED WITH THE SEC WHEN THEY BECOME AVAILABLE, BECAUSE THEY WILL CONTAIN IMPORTANT INFORMATION ABOUT THE PROPOSED TRANSACTION. A definitive joint proxy statement/prospectus will be sent to Extra Space’s stockholders and Life Storage’s stockholders. Investors and securityholders may obtain a free copy of the joint proxy statement/prospectus (if and when it becomes available) and other relevant documents filed by Extra Space and Life Storage with the SEC at the SEC’s website at www.sec.gov. Copies of the documents filed by Extra Space with the SEC will be available free of charge on Extra Space’s website at www.extraspace.com or by contacting Extra Space’s Investor Relations at info@extraspace.com. Copies of the documents filed by Life Storage with the SEC will be available free of charge on Life Storage’s website at www.lifestorage.com or by contacting Brent Maedl with Life Storage’s Investor Relations department at bmaedl@lifestorage.com or by calling (716)

Life Storage and Extra Space and their respective directors, executive officers and other members of management and employees may be deemed to be participants in the solicitation of proxies in respect of the proposed transaction. Information about directors and executive officers of Life Storage is available in the Life Storage proxy statement for its 2023 Annual Meeting, which was filed with the SEC on April 13, 2023. Information about directors and executive officers of Extra Space is available in the Extra Space proxy statement for its 2023 Annual Meeting, which was filed with the SEC on April 4, 2023. Other information regarding the participants in the proxy solicitation and a description of their direct and indirect interests, by security holdings or otherwise, will be contained in the joint proxy statement/prospectus and other relevant materials filed with the SEC regarding the proposed transaction when they become available. Investors should read the joint proxy statement/prospectus carefully when it becomes available before making any voting or investment decisions. Investors may obtain free copies of these documents from Life Storage and Extra Space as indicated above.

This communication and the information contained herein shall not constitute an offer to sell or the solicitation of an offer to buy any securities, nor shall there be any sale of securities in any jurisdiction in which such offer, solicitation or sale would be unlawful prior to registration or qualification under the securities laws of any such jurisdiction. No offering of securities shall be made except by means of a prospectus meeting the requirements of Section 10 of the Securities Act of 1933, as amended.