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 the nearest tenth) a) 1306.8 ftb)1401.2c)1891.1d)3634.4 ft

Answer 1

c^2= b^2 + a^2

17.8^2= b^2 + 16.6^2

b= 6.42495

V= 16.6*12.3*6.4= 1,306.752

= 1,306.8 ft^3

Answer 2

Option A is correct.

Explanation:

The dimensions of the pool are = 12.3 feet by 16.6 feet and the longer wall of the pool has a diagonal of 17.8 feet. We can find the depth of the pool using Pythagorean theorem. Let the depth be represented by x.

`a^(2)+b^(2)=c^(2)`

`17.8^(2)=x^(2) +16.6^(2)`

`316.84=x^(2) +275.56`

`316.84-275.56=x^(2)`

`x^(2) =41.28`

x = 6.4

Depth is 6.4 feet.

Volume of the pool is given by = length*width*depth

=
`16.6*12.3*6.4=1306.75` ≈ 1306.8 cubic feet