Laura wants to know the volume of her gold ring in cubic centimeters. She gets a rectangular glass with a base 7cm,  by 4.5cm,  and fills the glass 8.8cm  high with water. Laura drops her gold ring in the glass and measures the new height of the water to be 9.2. What is the volume of Laura's ring in cubic centimeters?

Respuesta :

4.5 * 7 * 8.8 = 277.2
4.5 * 7 * 9.2 = 289.8
289.8 - 277.2 = 12.6 cubic meters

Answer:

The volume of Laura's ring in cubic centimeters is 12.6.

Step-by-step explanation:

Length of the rectangular glass = l = 7 cm

Breadth of rectangular glass = b = 4.5 cm

Height upto which she filled the glass = h = 8.8 cm

Let the volume of the gold ring be v.

Volume of the water filled in the rectangular glass,V = l × b × h

=[tex]7cm\times 4.5 cm\times 8.8 cm =277.2 cm^3[/tex]

After dropping the gold ring the height of the water level changes from h to h'.

h' = 9.2 cm

As we know that after dropping gold ring into the glass the volume of water present before gets added up with volume occupied by the ring in the glass.So, the new volume becomes V'.

[tex]V'=7cm\times 4.5 cm\times 9.2 cm =289.8 cm^3[/tex]

V+ v= V'

[tex]277.2 cm^3+v=289.8 cm^3[/tex]

[tex]v = 12.6 cm^3[/tex]

The volume of Laura's ring in cubic centimeters is 12.6.