. Alex used 1 quart of paint to paint a large wood cube that measures 8 feet along each edge. He plans to paint a second cube that measures 16 feet along each edge. How many quarts of paint will Alex need to paint the second cube?
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Answer:
painting area of first cube = 6a²
a = side = 8feet
painting area = 6 x (8²) = 384 Feet square
paint used = 1 quart
painting area of second cube = 6a²
a = 16
painting area = 6 x (16²)
= 1536 feet square
1536/384 = 4
therefore it will need 4 times paint required as compared to first cube
I. e. 1 x 4 = 4 quarts of paint
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