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photoshop1234 [79]
3 years ago
15

A pool measures 12.3 feet by 16.6 feet. If the longer wall of the pool has a diagonal of 17.8 feet, what is the volume of the po

ol? (round to nearest tenth)
Mathematics
2 answers:
Harman [31]3 years ago
5 0

Answer:

1310.8 feet^3 to nearest tenth.

Step-by-step explanation:

To find the volume we need to find the depth.

The length of the diagonal helps us to do this. We apply the Pythagoras theorem to the triangle formed by the length, the diagonal and the depth (d):

17.8^2 = d^2 + 16.6^2

d^2 = 17.8^2 - 16.6^2

d^2 = 41.28

So the depth d =  6.42 feet.

Thus, the volume = 16.6 * 12.3 * 6.42

=  1310.8 feet^3.


salantis [7]3 years ago
5 0

Answer:1306.8ft cubed


Step-by-step explanation:

1,306.8 ft3


c2 = b2 + a2

17.82 = b2 + 16.62

b = 6.42495


then,


V = 16.6 x 12.3 x 6.4 = 1,306.752

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