Q23. - Geometry

Question

The container shown has the shape of a rectangular solid. When a rock is submerged, the water level rises 0.5 cm. Find the volume of the rock.

Step-by-Step Solution

Answer

The volume of the rock is $675{\text{\hspace{0.17em}\hspace{0.17em}cm}}^3$.

Step 1. Given information.

The water level rises 0.5 cm.

Step 2. Determine the volume.

To find the volume of rock, multiply the area of base of rectangular container by the height of water level rises,

$\begin{array}{c}v=(30\times 45)\left(0.5\right)\\ =675{\text{\hspace{0.17em}\hspace{0.17em}cm}}^3\end{array}$

Thus, the volume of the rock is$675{\text{\hspace{0.17em}\hspace{0.17em}cm}}^3$ .