Key Lime Cake

1 (18.25 ounce) box Lemon Supreme cake mix
1 small box lemon instant pudding
4 eggs
1/2 cup water
1/2 cup Key lime juice
1/2 cup vegetable oil
2 cups sifted confectioners' sugar
1/4 cup Key lime juice

Combine first 6 ingredients; beat 2 minutes at medium speed of an electric mixer. Pour batter into a greased and floured 13 x 9-inch pan. Bake at 350 degrees F for 35 minutes or until a wooden pick inserted in center comes out clean. Let cake cool in pan on a wire rack.

Combine confectioners' sugar and 1/4 cup Key lime juice; drizzle over cake.