Question

A cuboid metal block of size 45cm x 30cm x 25cm is melted to form metal cubes of edge
5cm each. Find the number of cubes that can be formed.​

Answer 1

Answer:

270

Step-by-step explanation:

Volume of the metal cube=(45*30*25)cm³

Volume of the smaller cube=(5*5*5)cm³

Total no. of cubes required=(45*30*25)/(5*5*5) cm³

=(9*6*5) cm³

=270 cm³

Hope it helps.

Answer 2

$l \: of \: cuboid = 45cm \\ b \: of \: cuboid = 30cm \: \\ h \: of \: cuboid = 25cm$

No. of cubes made:

$= \frac{volume \: of \: cuboid}{volume \: of \: cube}$

$= \frac{45 \times 30 \times 25}{5 \times 5 \times 5}$

$= \frac{33750}{125}$

$= 270$

Hence, 270 cubes can be made

Hope it helps

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