diff --git a/core/Makefile b/core/Makefile
index f18dcd4..9d18bb9 100644
--- a/core/Makefile
+++ b/core/Makefile
@@ -6824,7 +6824,11 @@
 $(INTERNAL_SDK_TARGET): PRIVATE_DIR := $(sdk_dir)/$(sdk_name)
 $(INTERNAL_SDK_TARGET): PRIVATE_DEP_FILE := $(sdk_dep_file)
 $(INTERNAL_SDK_TARGET): PRIVATE_INPUT_FILES := $(sdk_atree_files)
-
+$(INTERNAL_SDK_TARGET): PRIVATE_PLATFORM_NAME := \
+  $(strip $(if $(filter $(PLATFORM_SDK_EXTENSION_VERSION),$(PLATFORM_BASE_SDK_EXTENSION_VERSION)),\
+    android-$(PLATFORM_SDK_VERSION),\
+    android-$(PLATFORM_SDK_VERSION)-ext$(PLATFORM_SDK_EXTENSION_VERSION)) \
+)
 # Set SDK_GNU_ERROR to non-empty to fail when a GNU target is built.
 #
 #SDK_GNU_ERROR := true
@@ -6849,7 +6853,7 @@
 	        -I $(PRODUCT_OUT) \
 	        -I $(HOST_OUT) \
 	        -I $(TARGET_COMMON_OUT_ROOT) \
-	        -v "PLATFORM_NAME=android-$(PLATFORM_VERSION)" \
+	        -v "PLATFORM_NAME=$(PRIVATE_PLATFORM_NAME)" \
 	        -v "OUT_DIR=$(OUT_DIR)" \
 	        -v "HOST_OUT=$(HOST_OUT)" \
 	        -v "TARGET_ARCH=$(TARGET_ARCH)" \