Multi-piece solid golf ball

A multi-piece solid golf ball comprising a core, an intermediate layer, and a cover, wherein a large number of dimples are formed on an outer surface of the cover, and a relationship between a surface hardness of an intermediate layer-encased sphere and a surface hardness of the ball satisfies the following condition:

• (surface hardness of ball)<(surface hardness of intermediate layer-encased sphere)
• [where the surface hardnesses mean Shore C hardnesses], and
• when an initial velocity of the ball is 76.5 m/s to 77.724 m/s and a deflection is at least 2.7 mm when the ball is compressed under a final load of 1,275 N (130 kgf) from an initial load of 98 N (10 kgf), and a value of (initial velocity of core×weight of core) is denoted by Ciw, a value of [(initial velocity of intermediate layer-encased sphere−initial velocity of core)×(weight of intermediate layer-encased sphere−weight of core)] is denoted by Miw, and a value of [(initial velocity of ball−initial velocity of intermediate layer-encased sphere)×(weight of ball−weight of intermediate layer-encased sphere)] is denoted by CViw, the following condition is satisfied:
• 2,500≤Ciw+Miw+CViw≤2,650, and
• a volume occupancy ratio VR of the dimples are from 0.75 to 0.89%, and
• wherein the core has a hardness profile in which, letting the Shore C hardness at a core center be Cc, the Shore C hardness at a midpoint M between the core center and a core surface be Cm, the Shore C hardnesses at positions 2 mm, 4 mm, and 6 mm inward from the midpoint M be Cm-2, Cm-4, and Cm-6 respectively, the Shore C hardnesses at positions 2 mm, 4 mm, and 6 mm outward from the midpoint M be Cm+2, Cm+4, and Cm+6 respectively, and the Shore C hardness at the core surface be Cs, and defining surface areas A to F as follows:
• surface area A:
• ½×2×(Cm−4−Cm−6)
• surface area B:
• ½×2×(Cm−2−Cm−4)
• surface area C:
• ½×2×(Cm−Cm−2)
• surface area D:
• ½×2×(Cm+2−Cm)
• surface area E:
• ½×2×(Cm+4−Cm+2)
• surface area F:
• ½×2×(Cm+6−Cm+4)
• the following condition is satisfied:
• {(surface area D+surface area E)−(surface area A+surface area B)}≥2.0.