Mathematics: 3) How many cubic feet of water can the following in-ground swimming pool hold? 6 ft 8 ft /8 ft 6 ft 6 ft 8 ft 144f

3) How many cubic feet of water can the following

bella7524

27.01.2022

9514 1404 393

(d) 528 ft³

Step-by-step explanation:

The shape is that of a trapezoidal prism. The front face is a trapezoid with bases 8 ft and 14 ft, and height 6 ft. Its area is ...

A = (1/2)(b1 +b2)h = (1/2)(8 +14)(6) = 66 . . . . square feet

Then the volume is given by ...

V = Bh

where B is the area of the (trapezoidal) base, and h is the height of the prism (8 ft). Filling in the values, we find ...

V = (66 ft²)(8 ft) = 528 ft³

The pool can hold 528 ft³ of water.

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angelmilla

30.05.2021

Step-by-step explanation:

$log(2x) + 68 = 3 \\ log(2) + log(x) + 68 = 3 \\ log(x) = - 65.30103 \\ x = {10}^{ - 65.30103} = \\ x = 5 \times {10}^{ - 66}$

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