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How big is 0.706 cubic feet?

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It's about one-and-four-fifths times as big as a Basketball (packed).
In other words, 0.706 cubic feet is 1.800998541 times the size of a Basketball (packed), and the size of a Basketball (packed) is 0.55524753476 times that amount.
(64% packing density) (NBA official ball standards, Size 7)
A NBA official ball, manufactured by Spalding, is a Size 7 ball measures about 0.25088304609 cubic feet. These balls have 4,118 pebbles each with a diameter of 2.5 mm
It's about two-and-a-half times as big as a Bowling Ball (packed).
In other words, 0.706 cubic feet is 2.4281360324 times the size of a Bowling Ball (packed), and the size of a Bowling Ball (packed) is 0.41183854062 times that amount.
(64% packing density) (USBC specifications; tenpin)
According to United States Bowling Congress specifications, a tenpin bowling ball should measure at least 10.795 cm (4.25 in) in radius for a total volume of about 0.18608512619 cubic feet. Because regulation balls measure the same diameter irrespective of their weight, ball density varies by size and balls weighing less than about 5 kg (11 lbs) will float in water.
It's about three times as big as a Basketball.
In other words, 0.706 cubic feet is 2.8140602205 times the size of a Basketball, and the size of a Basketball is 0.35535842222 times that amount.
(NBA official ball standards, Size 7)
A NBA official ball, manufactured by Spalding, is a Size 7 ball and measures about 0.25088304609 cubic feet. The surface of these balls have 4,118 pebbles with a diameter of 2.5 mm each.
It's about one-third as big as a Beer Keg.
In other words, 0.706 cubic feet is 0.341 times the size of a Beer Keg, and the size of a Beer Keg is 2.93 times that amount.
(Half barrel; maximum capacity)
The most common keg size sold by US beer sellers is a half-barrel type with a volume of 2.07 cubic feet. This type of keg contains the equivalent of 165 0.0125 cubic feet cans of beer.
It's about one-fourth as big as a Car Gas Tank.
In other words, 0.706 cubic feet is 0.264 times the size of a Car Gas Tank, and the size of a Car Gas Tank is 3.79 times that amount.
(for 2009 Ford Taurus)
A car gas tank (for example, that of a 2009 Ford Taurus) holds 2.67 cubic feet of gas. In contrast, the Curved Dash Oldsmobile — the first mass-produced car — had a fuel capacity of just 0.706 cubic feet.
It's about four times as big as a Bowling Ball.
In other words, 0.706 cubic feet is 3.7939625506 times the size of a Bowling Ball, and the size of a Bowling Ball is 0.263576666 times that amount.
(USBC specifications; tenpin)
According to United States Bowling Congress specifications, a tenpin bowling ball should measure at least 10.795 cm (4.25 in) in radius for a total volume of about 0.18608512619 cubic feet. Because regulation balls measure the same diameter irrespective of their weight, ball density varies by size and balls weighing less than about 5 kg (11 lbs) will float in water.
It's about four times as big as The Blood in a Human Body.
In other words, the size of The Blood in a Human Body is 0.3 times 0.706 cubic feet.
(for 70 kg body; average altitude; average)
The volume of blood in the average human body is about 0.2 cubic feet. Persons living at high altitude, however, may have up to an additional 0.07 cubic feet of blood to compensate for the lower oxygen level.