<div id="wrap">
    <div id="D3Cube">
        <div id="side1"></div>
        <div id="side2"></div>
        <div id="side3"></div>
        <div id="side4"></div>
        <div id="side5"></div>
        <div id="side6"></div>
    </div>
</div>
body {
  background: linear-gradient(90deg, rgba(238,174,202,1) 0%, rgba(233,210,148,1) 100%);
  height:100vh;
  display:flex;
  justify-content: center;
  align-items: center;
}

#wrap {
    position:relative;
}
#D3Cube {
    position: relative;
    width: 250px;
    height: 250px;
    transform-style: preserve-3d;
    -moz-transform-style: preserve-3d;
    -webkit-transform-style: preserve-3d;
    transform: rotateX(-22deg) rotateY(-38deg) rotateZ(0deg);
    -moz-transform: rotateX(-22deg) rotateY(-38deg) rotateZ(0deg);
    -webkit-transform: rotateX(-22deg) rotateY(-38deg) rotateZ(0deg);
    -moz-transform-style: preserve-3d;
    transform-style: preserve-3d;
    -webkit-transition: all 0.5s ease-in-out;
    transition: all 0.5s ease-in-out;
}
#D3Cube > div {
    position: absolute;
    -webkit-transition: all 0.5s ease-in-out;
    transition: all 0.5s ease-in-out;
    width: 250px;
    height: 250px;
    float: left;
    overflow: hidden;
    opacity: 0.8;
}
#side1 {
    transform: rotatex(90deg) translateX(0px) translateY(0px) translateZ(125px);
    -moz-transform: rotatex(90deg) translateX(0px) translateY(0px) translateZ(125px);
    -webkit-transform: rotatex(90deg) translateX(0px) translateY(0px) translateZ(125px);
    background-color: #F9E79F;
}
#side2 {
    transform: rotateY(-90deg) translateX(0px) translateY(0px) translateZ(125px);
    -moz-transform: rotateY(-90deg) translateX(0px) translateY(0px) translateZ(125px);
    -webkit-transform: rotateY(-90deg) translateX(0px) translateY(0px) translateZ(125px);
    background-color: #85C1E9;
}
#side3 {
    transform: translateX(0px) translateY(0px) translateZ(125px);
    -moz-transform: translateX(0px) translateY(0px) translateZ(125px);
    -webkit-transform: translateX(0px) translateY(0px) translateZ(125px);
    background-color: #F1948A;
}
#side4 {
    transform: rotateY(90deg) translateX(0px) translateY(0px) translateZ(125px);
    -moz-transform: rotateY(90deg) translateX(0px) translateY(0px) translateZ(125px);
    -webkit-transform: rotateY(90deg) translateX(0px) translateY(0px) translateZ(125px);
    background-color: #1ABC9C;
}
#side5 {
    transform: rotateY(180deg) translateX(0px) translateY(0px) translateZ(125px);
    -moz-transform: rotateY(180deg) translateX(0px) translateY(0px) translateZ(125px);
    -webkit-transform: rotateY(180deg) translateX(0px) translateY(0px) translateZ(125px);
    background-color: #8E44AD;
}
#side6 {
    transform: rotateX(-90deg) translateX(0px) translateY(0px) translateZ(125px);
    -moz-transform: rotateX(-90deg) translateX(0px) translateY(0px) translateZ(125px);
    -webkit-transform: rotateX(-90deg) translateX(0px) translateY(0px) translateZ(125px);
    background-color: #D7DBDD;
   }
$(document).mousemove(function(e) {
  $('#3dCube').css('transform', 'rotateX(0deg) rotateY(0deg)');
  
  var rotate_X;
  var rotate_Y;
  var invert = false;
  
  if (invert) {
    rotate_X = e.pageX;
    rotate_Y = e.pageY;
  } else if (!invert) {
    rotate_X = e.pageX;
    rotate_Y = -e.pageY;
  }
  
  $('#D3Cube').css('transform', 'rotateX(' + rotate_Y + 'deg) rotateY(' + rotate_X + 'deg)')
});
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External CSS

This Pen doesn't use any external CSS resources.

External JavaScript

  1. https://cdnjs.cloudflare.com/ajax/libs/jquery/3.5.0/jquery.min.js
  2. https://cdnjs.cloudflare.com/ajax/libs/jquery.pjax/2.0.1/jquery.pjax.min.js