Well in your a DateKey dimenstion table you should have columns like below.
copied this from adventureworksdw
CREATE TABLE [dbo].[DimTime](
[TimeKey] [int] IDENTITY(1,1) NOT NULL,
[FullDateAlternateKey] [datetime] NULL,
[DayNumberOfWeek] [tinyint] NULL,
[EnglishDayNameOfWeek] [nvarchar](10) NULL,
[SpanishDayNameOfWeek] [nvarchar](10) NULL,
[FrenchDayNameOfWeek] [nvarchar](10) NULL,
[DayNumberOfMonth] [tinyint] NULL,
[DayNumberOfYear] [smallint] NULL,
[WeekNumberOfYear] [tinyint] NULL,
[EnglishMonthName] [nvarchar](10) NULL,
[SpanishMonthName] [nvarchar](10) NULL,
[FrenchMonthName] [nvarchar](10) NULL,
[MonthNumberOfYear] [tinyint] NULL,
[CalendarQuarter] [tinyint] NULL,
[CalendarYear] [char](4) NULL,
[CalendarSemester] [tinyint] NULL,
[FiscalQuarter] [tinyint] NULL,
[FiscalYear] [char](4) NULL,
[FiscalSemester] [tinyint] NULL,
CONSTRAINT [PK_DimTime_TimeKey] PRIMARY KEY CLUSTERED
(
[TimeKey] ASC
)WITH (PAD_INDEX = OFF, STATISTICS_NORECOMPUTE = OFF, IGNORE_DUP_KEY = OFF, ALLOW_ROW_LOCKS = ON, ALLOW_PAGE_LOCKS = ON) ON [PRIMARY],
CONSTRAINT [AK_DimTime_FullDateAlternateKey] UNIQUE NONCLUSTERED
(
[FullDateAlternateKey] ASC
)WITH (PAD_INDEX = OFF, STATISTICS_NORECOMPUTE = OFF, IGNORE_DUP_KEY = OFF, ALLOW_ROW_LOCKS = ON, ALLOW_PAGE_LOCKS = ON) ON [PRIMARY]
) ON [PRIMARY]
GO
SET ANSI_PADDING ON
GO
AND your query would looke like this.
SELECT [dbo].[FactMaterialDelivery].[MaterialDeliveryRowInfoKey],
[dbo].[FactMaterialDelivery].[ActualIssueDateKey],
[dbo].[FactMaterialDelivery].[Bill-toCustomerKey],
[dbo].[FactMaterialDelivery].[IssueDateKey],
[dbo].[FactMaterialDelivery].[MaterialKey],
[dbo].[FactMaterialDelivery].[PayerCustomerKey],
[dbo].[FactMaterialDelivery].[StoreKey],
[dbo].[FactMaterialDelivery].[Ship-toCustomerKey],
[dbo].[FactMaterialDelivery].[Sold-toCustomerKey],
[dbo].[FactMaterialDelivery].[VendorKey],
[dbo].[FactMaterialDelivery].[Actual Quantity Delivered Stock Units],
[dbo].[FactMaterialDelivery].[Actual Quantity Delivered Sales Units],
[dbo].[FactMaterialDelivery].[Gross weight],
[dbo].[FactMaterialDelivery].[Net weight],
[dbo].[FactMaterialDelivery].[Number of Delivery Items],
[dbo].[FactMaterialDelivery].[Volume delivered],
[dbo].[FactMaterialDelivery].[MaterialPlantAttributeKey],
[dbo].[FactMaterialDelivery].[Delivered Qty BUn]
FROM [dbo].[FactMaterialDelivery]
INNER JOIN [dbo].[DimTime] dt
ON [TimeKey] = IssueDateKey
WHERE dt.[MonthNumberOfYear] = 6
AND [CalendarYear] = 2012