Question

GIVING 35 POINTS!!

The solids are similar. Find the volume V of the smaller solid.
Volume =

Answer 1

Explanation:

Answer 2

Volume =936.3 ft³

Explanation:

Solution Given:

The mathematics tells us that the cube of the ratio of the lengths is equal to the ratio of the volumes.

`{((Side\: of\: bigger \: solid)/(Side \: of \: smaller \: solid) )}^3 = (volume\: of \: bigger \: solid)/(volume \: of \: smaller \: solid)`

let volume of smaller solid be x.

by equation

`{((12)/(8) )}^3 = (3160)/(x)`

doing criss cross multiplication

12³*x=3160*8³

we get

`x = (3160 * 8^3)/(12^3)`

x= 936.296296296 ft³