Question

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

Answer 1

Given :

A solid block whose length is 25 cm, breadth (wide) is 15 cm and height is 10 cm.

Also, a cubical block whose side is 5 cm.

Find :

Number of cubical block.

Solution :

We know that..

Volume of cuboid = length × breadth × height

We have

• length = 25 cm
• breadth = 15 cm
• height = 10cm

Substitute the known values in above formula

=> Volume of cuboid = 25 × 15 × 10

=> Volume of cuboid = 3750 cm³

Now,

Volume of cube = a³

We have

• a = side = 5 cm

So,

=> Volume of cube = (5)³

=> Volume of cube = 125 cm³

Let number of cubical box be "M".

So,

Volume of cuboid = M × Volume of cube

=> 3750 = M × 125

=> 125M = 3750

=> M = 3750/125

=> M = 30

∴ Number of cubical block is 30.

Answer 2

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Step-by-step explanation:

Given:-

1. Dimensions of a solid metal block:-

• Length = 25 cm
• Breadth = 15 cm
• Height = 10 cm

2 . Dimensions of cubical block:-

• Side = 5 cm

To find :-

Number of cubical blocks formed from the solid metal block.

Solution:-

First of all let us find the volume of metal block.

We can find the volume with the help of dimensions given and the formula.

Volume of block = (Length × Breadth × Height)

So, Volume of solid metal block= 25 × 15 × 10

= 3750 cm³

Now, Let's find the volume of cubical block which is to be cut from the solid block.

Volume of cube = (side)³

So, volume of small cubical block = (5)³

= (5 × 5 × 5)

= 125 cm³

Now, as we know that the cubical block is to be cut from the solid block, so,

The number of new block formed,

= $\tt\frac{area \: of \: solid \: metal \: block}{area \: of \: cubical \: block}$

= $\tt\frac{3750}{125}$

= 30

Hence, 30 cubical blocks can be cut from the solid metal block.