Question

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 pool? (round to nearest tenth)

Answer 1

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.

Answer 2

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