In recent years there has been a growing demand from museums for computed tomography (CT) diagnostic measurements to be performed on famous artworks (sculptures and paintings) inside the museum itself in order to assess whether are they in good condition or need a restoration procedure. The problem of radioprotection becomes critical when the energy used in CT is high, as typically occurs in the case of CT measurements on sculptures, where linacs are used to produce the high-energy X-rays necessary to penetrate marble or metal. In this study we used Monte Carlo simulations in order to evaluate dose distribution inside a museum where a high-energy CT system is used for diagnostic measurements on a sculpture.