Match with AND across multiple fields

[jesseqper]

In my index I have products that have multiple dimensions. I want the user to
be able to search with /name/ + and up to 3 /dimensions/. So a query can
occur like: /ProductX 10x20/, or: /ProductX 10x20x30/. Now I get to many
results back, because matches are like:  /name/ AND /dimension/ OR
/dimension/ OR /dimension/. All should be AND. 

I'm quite new to Solr. Is this something I should configure in "dismax"? 

The fields I'm using: 

<field indexed="true" multiValued="true" name="Height_mm" stored="true"
type="double"/>
<field indexed="true" multiValued="true" name="Outside_diameter_mm"
stored="true" type="double"/>
<field indexed="true" multiValued="true" name="Inside_diameter_mm"
stored="true" type="double"/>
 <field indexed="true" name="name" stored="true" type="title"/>

SearchHandler:

<requestHandler name="dismax" class="solr.SearchHandler" >
    <lst name="defaults">
     <str name="defType">dismax</str>
     <str name="echoParams">explicit</str>
     <float name="tie">0.3</float>
    
<str name="qf">
        supplierArticleId_Prefix
     </str>     
<str name="fl">
        UUID,score
     </str>
     <str name="mm">
        2&lt;-1 5&lt;-2 6&lt;90%
     </str>
     <int name="ps">100</int>
     <str name="q.alt">*:*</str>
    </lst>
    <arr name="last-components">
       <str>spellcheck</str>
    </arr>
  </requestHandler>



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