Question

A solid metal block is 25 cm long, 15 cm wide and 10 cm high. It is cut into solid cubical
blocks of the same size. Find the number of cubical blocks, if each side measures 5 cm.​

Answer 1

Answer:

There are 30 cubical blocks.

Step-by-step explanation:

Dimensions of a solid metal block = 25cm × 15cm × 10cm

Volume of the solid block = length × breadth × height

                                  = (25 × 15 × 10)$cm^{3}$

                                  = 3750$cm^{3}$

Dimensions of a cubical block = 5cm × 5cm × 5cm

Volume of the cubical block = (5 × 5 × 5)$cm^{3}$

                                               = 125$cm^{3}$

Therefore, number of cubical blocks = $\frac{3750}{125}$ = 30 [3750 and 125 cancel each other to get 30]

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