Question

A cubical block of gold was melted and cast into $10$ smaller cubes of edge $1.5$ cm. The volume of the cubical block of gold was:

• A. $3.375$ cu cm
• B. $33.75$ cu cm
• C. $0.3375$ cu cm
• D. none of these

Answer 1

Answer: (B)

$33.75$ cu cm

Given, edge of each cube $=1.5$ cm.

Then, Volume of each cube $=(1.5{)}^3$
$=1.5\times 1.5\times 1.5=3.375$ cu.cm.

The number of cubes $=10$.
Then, Volume of the cubical block of gold

$=$ Volume of each cube $\times$ Number of smaller cubes
$=3.375\times 10$
$=33.75$ cu.cm.

Hence, option $B$ is correct.