This piece is what's called a “Bombe” chest after it's shape. These pieces were in the Louis XV Style first popular during the mid 1700's, but the style has been reproduced in several periods , the 1890's, the 1920's and again in the 1950's, it remains in production to this day. This particular example with its pink marble marble top is probably a mid 20th century reproduction, but without actually physically examining it it impossible to determine a vintage.
Veneered furniture of this type is very prone to damage from moisture and heat, which causes the wood to shrink or swell and the glue that holds it to loosen. It's best if you have furniture of this type that you keep the humidity levels at a constant state rather than wild swings from one extreme to the other. Regular polishing will add a layer of protection, slowing the movement of moisture in and out of the wood, preventing warpage, cracking and delamination of veneer. In terms of value for these reproductions, it can vary a great deal depending on the quality of construction and current condition, but generally one comparble to this one with some slight damage could go at action for over $450.00.