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Pepsi [2]
3 years ago
6

Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches

Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer: a = 8

Step-by-step explanation:

Volume of a square based pyramid is given as

\frac{a^{2}h }{3} .

where a is the length of the side and h is the height.

Substituting into the formula , we have

V = \frac{a^{2}h }{3}

128 = a^{2}h /3

384= a^{2} X 6

Divide through by 6

384/6 = a^{2}

64 = a^{2}

Therefore :

a = \sqrt{\frac{64}{1} }

a = 8

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A carton measures 3 feet by 2 feet by 2 feet. A machine can fill the carton with packing material in 3 seconds. How long would i
True [87]
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³

Therefore: 
A machine can fill 12 ft³ in 3 seconds.

2) we calculate the volume of the second carton. 
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³

3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.

12 ft³---------------------3 seconds
120 ft³--------------------      x

x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.

answer: 30 seconds. 


5 0
3 years ago
Find the solution set of 5x<36 when x ∈ n
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
I turn my dial on my stove 45degrees from the start position if i continue to turn the dial, how many degrees further will i nww
AveGali [126]

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315 degrees

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3 years ago
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valina [46]

Answer:

b = \frac{8a-55}{5-a}

Step-by-step explanation:

To clear the radicals square both sides

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5b - ab = 8a - 55 ← factor out b from each term on the left side )

b(5 - a) = 8a - 55 ← divide both sides by (5 - a)

b = \frac{8a-55}{5-a}

7 0
3 years ago
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