We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
330
1
avatar+2448 

A swimming pool in the shape of a rectangular prism has a bottom, no top, two square sides, and two rectangular sides with a length equal to twice the length of the square sides. All four sides share a common height. The total area of the five sides is 288 ft^2. Find the volume of the swimming pool.

 Dec 6, 2018
 #1
avatar+19773 
+2

Area of square sides   x *x = x^2    and there are 2 of them  so   2x^2   ft^2

rectangular sides        2x * x = 2x^2  and there are two of them = 4x^2    ft^2

area of bottom = x * 2x = 2x^2  ft^2

all added together = 288  ft^2

 

8x^2 = 288

x= 6 ft

 

Volume =   length x w x depth

             =   2(6)  * 6  * 6 = 4752 ft^3

 Dec 6, 2018

10 Online Users