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How big is 647 square centimeters?

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It's about two-thirds as big as an Airplane Tray Table.
In other words, 647 square centimeters is 0.6410 times the size of an Airplane Tray Table, and the size of an Airplane Tray Table is 1.560 times that amount.
(average)
With wide variation among different models of airplanes, in-flight tray tables measure around 41.2 cm (16.5 in) x 24.1 cm (9.5 in) for a total area of 1,010 square centimeters. Flight safety rules require that the tray tables be upright and locked during takeoff and landing so as to reduce the risk of passenger abdominal injury.
It's about one-and-three-fifths times as big as an Apple iPad.
In other words, 647 square centimeters is 1.6170 times the size of an Apple iPad, and the size of an Apple iPad is 0.61840 times that amount.
(for 9.7 inch, Apple iPad Air MD785LL/B)
An Apple iPad measures 23 cm (9.4 in) x 17 cm (6.6 in) for a total device area of 400.20 square centimeters. The base model iPad Air features 16 GB of storage capacity.
It's about twelve times as big as a Post-it® Note (3M).
In other words, the size of a Post-it® Note (3M) is 0.083 times 647 square centimeters.
(3M) (generically sticky notes, a.k.a. repositionable notes, a.k.a. repositional notes)
A Post-it® Note measures 54 sq. cm in total area. In September, 1989, Hurricane Hugo swept through Charleston, South Carolina with winds up to 230 kph (140 mph), uprooting eight oak trees in Mr. Bruce Brakefield's yard, but leaving in place a Post-it® note attached to his front door.
It's about twelve times as big as a Playing Card.
In other words, the size of a Playing Card is 0.083 times 647 square centimeters.
(ISO 216 B8 size)
A single ISO 216 B8-size playing card measures 56 sq. cm. Although this size is the most common playing card, many casinos use the smaller "bridge size" card — 26 square centimeters smaller.
It's about one-fifteenth as big as a Bath Towel.
In other words, 647 square centimeters is 0.059697 times the size of a Bath Towel, and the size of a Bath Towel is 16.7510 times that amount.
(for Fieldcrest Luxury Solid Towels)
Bath towels typically measure 142.24 cm (56 in) by 76.2 cm (30 in), for a total area of about 10,838 square centimeters. The city of Bursa, Turkey is known as the birthplace of the modern towel.
It's about one-sixtieth as big as a King Size Bed.
In other words, 647 square centimeters is 0.0161 times the size of a King Size Bed, and the size of a King Size Bed is 62.10 times that amount.
(North American/Australian standard; length; mattress only)
A King-Size mattress measures 40,300 square centimeters in total area. Although most antique beds were smaller than modern beds, it was not uncommon for beds in the medieval Europe to reach 50,000 square centimeters for those in positions of wealth or power.
It's about 85 times as big as a Secure Digital (SD) card.
In other words, the size of a Secure Digital (SD) card is 0.012 times 647 square centimeters.
A Secure Digital (SD) card measures 3.2 cm by 2.4 cm for a total area of 7.7 sq. cm. SDXC Cards, the latest standard for the technology, will allow the cards to hold up to 2 terabytes of data.