Question

A cuboidal block of silver is 9 cm long, 4 cm broad and 3.5 cm in height. From it, beads of volume 1.5 cm³ each are to be made. Find the number of beads that can be made from the block.

Answer 1

Length of the cuboidal block of silver = 9 cm 

Breadth = 4 cm 

Height = 3 . 5 cm

\[\text { Now, volume of the cuboidal block = length } \times \text { breadth } \times \text { height }\]

\[ = 9 \times 4 \times 3 . 5 \]

\[ = 126 {cm}^3 \]

\[ \therefore \text { The required number of beads of volume 1 . 5 } {cm}^3\text {  that can be made from the block  }= \frac{\text { volume of the silver block }}{\text { volume of one bead }}\]

\[ = \frac{126 {cm}^3}{1 . 5 {cm}^3}\]

\[ = 84\]