Question

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

Answer 1

Solution:

Given:

The volume of water only:

$\begin{gathered} l=7cm \\ w=4.5cm \\ h=8.8cm \end{gathered}$

Using the formula;

$\begin{gathered} V=lwh \\ V=7\times4.5\times8.8 \\ V=277.2cm^3 \end{gathered}$

The volume of water and ring (height of water changes:

$\begin{gathered} l=7cm \\ w=4.5cm \\ h=9.2cm \end{gathered}$

Using the formula;

$\begin{gathered} V=lwh \\ V=7\times4.5\times9.2 \\ V=289.8cm^3 \end{gathered}$

The volume of the gold ring is the difference in volumes.

Hence;

$\begin{gathered} V=289.8-277.2 \\ V=12.6cm^3 \end{gathered}$

Therefore, the volume of the gold ring is 12.6 cubic centimeters.