The bombardment, which activists described as "unprecedented", came as the United Nations said the number of Syrian war refugees in the Middle East was likely to double to 4.1 million by the end of 2014.
The number of people slain in yesterday's bombing of Aleppo "with explosive-packed barrels... Rose to 76," including "28 children and four women," said the Syrian Observatory for Human Rights, updating its previous toll of 36 dead.
Explosive-laden barrels were dropped on six rebel-controlled districts in the east, including Sakhur, Ard al-Hamra and Haydariyeh, Abdel Rahman said.
The Observatory and activists said government forces frequently drop the barrels filled with TNT on rebel-held areas of the war-torn country from helicopters and warplanes.
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"The barrels of explosives are not like bombs. Their impact is not accurate as they are dropped without any guidance system, and that is why they cause a large number of victims," said Abdel Rahman.
There are two types of barrel bombs, one of which is home-made, and the other of which is made in factories.
A Syrian security official said the army prefers the TNT-packed barrels because they are cheaper than regular bombs, which need to be imported from Russia.
The Aleppo Media Centre, a network of activists on the ground, called yesterday's raids on the northern city "unprecedented".
"Everyone is looking up at the skies and watching the planes. But there's nothing to be done," AMC activist Mohammed al-Khatieb said.
Fighting that erupted with a rebel offensive in July last year has caused massive damage to the historic city.
Activists posted video footage online of the aftermath of yesterday's barrel bomb attacks, showing bulldozers clearing rubble from the streets as men searched for survivors in wrecked buildings.
The barrel bombings came as Swedish expert Ake Sellstrom prepared to brief the United Nations Security Council on the use of internationally-banned chemical weapons in the unrelenting war.