The phrase "a total surface" is correct and usable in written English.
It can be used in contexts where you are describing the entirety or complete area of a surface, often in scientific or mathematical discussions.
Example: "To calculate the volume of the object, we first need to determine a total surface area of the shape."
Alternatives: "the entire surface" or "the complete surface".
We take a boat to Grey Glacier, which is 28km in length and covers a total surface area of 270km.
The parachute has a total surface of ninety square mètres and weighs eight kilos.
It has a total surface area of 234 square miles (606 square km), and its surface lies at an elevation of 1,172 feet (357 metres).
The sea measures about 900 miles (1,450 km) east-west by 260 miles (420 km) north-south and occupies a total surface area of 167,000 square miles (433,000 square km).
With a total surface area of about 15,000 square miles (40,000 square km), it opens to the Pacific on the north and to the Solomon Sea on the southeast through Vitiaz and Dampier straits and St. George's Channel.
Occupying a total surface area of 93,000 square miles (240,000 square km), it opens northwest through Makassar Strait to the Celebes Sea, west to the Java Sea, and east to the Banda Sea.
It is 25 miles (40 km) long and 10 miles (16 km) wide, with a total surface area of 140 square miles (360 square km), and some three-fifths of it lies within Montenegrin territory.
It occupies a total surface area of 41,000 square miles (105,000 square km) and opens to the Banda Sea (northeast), Flores Sea through the Sumba Strait (northwest), Timor Sea (southeast), and the Indian Ocean (southwest).
The extensive interaction between MCM2 and H3-H4 buries a total surface area of 1918 Å2.
A total surface of 100 ha in the Luxembourgish watershed is estimated to be devoted to this crop.
The instrument has a total surface area of 0.11 m2 and a time resolution of 1 s.
