Number of ways = 6!
Number of ways = 6 x 5 x 4 x 3 x 2 x 1
Number of ways = 720
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Answer: 720 ways
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First, you want to set up a proportion.
8/24 = 10/y
Cross multiply to get
240 = 8y, then divide 8 from both sides to get y = 30.
Part A.
Using the Pythagorean theorem,
PR² = PQ² +QR²
PR² = (14 ft)² +(6 ft)² = 196 ft² +36 ft² . . . . substitute the given numbers
PR² = 232 ft² . . . . . . . . . . . . . . . . . . . . . . . .find the sum
PR = √(232 ft²) ≈ 15.23 ft . . . . . . . . . . . . . take the square root
The length of rod PR is 15.23 ft.
Part B.
Using the Pythagorean theorem,
PR² = PQ² +QR²
(16 ft)² = (14 ft)² +QR² . . . . . . . substitute the given numbers
256 ft² -196 ft² = QR² . . . . . .. subtract 14²
60 ft² = QR² . . . . . . . . . . . . . . find the sum
√(60 ft²) = QR ≈ 7.75 ft . . . . . take the square root
The new height QR is about 7.75 ft.
Surface area is what it seems to be. All of the area of the solid's faces together. Like a cube, just find the areas of all of the squares that make the cube then add them together.
