Math, asked by Anonymous, 11 months ago

Plz provide me the solution....


48 cubes are arranged in 4 layers. If 4 cubes are placed lengthwise then how many are placed breadthwise...

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Answers

Answered by Anonymous
4

Answer:

Step-by-step explanation:

Solved examples on volume of a cuboid:

1. Find the volume of a cuboid of dimensions 14 cm × 12 cm × 8 cm.

Volume of cuboid = length × breadth × height.

Here, length = 14 cm, breadth = 12 cm and height = 8 cm.

Volume of cuboid = 14 × 12 × 8 cubic cm.

= 1344 cubic cm.

Therefore, volume of cuboid = 1344 cubic cm.

 

2. Find the volume of a cuboid of dimensions 14 cm × 50 mm × 10 cm.

Here, length = 14 cm,

[Given, breadth = 50 mm; we need to convert breadth to same unit and then solve. We know, 10 mm = 1 cm. Therefore, 50 mm = 50/10 cm = 5 cm].

Breadth = 5 cm,

Height = 10 cm.

Volume of cuboid = length × breadth × height.

                         = 14 × 5 × 10

                         = 700 cubic cm.

Therefore, volume of cuboid = 700 cubic cm.

Note: In a cuboid, when the length, breadth and height are of different units, convert them to a same unit and then solve.

3. Find the volume of a cuboid of dimensions 17 mm × 0.2 cm × 12 mm in cu. cm.

Given, length = 17 mm.

We know, 10 mm = 1 cm.

= 17/10 cm.

= 1.7 cm.

Therefore, length = 1.7 cm.

 

Similarly, height = 12 mm.

We know, 10 mm = 1 cm.

= 12/10 cm.

= 1.2 cm.

Therefore, height = 1.2 cm.

Volume of cuboid = length × breadth × height.

Length = 1.7 cm, breadth = 0.2 cm and height = 1.2 cm.

          = 1.7 × 0.2 × 1.2 cu. cm.

          = 0.408 cu. cm.

Therefore, volume of cuboid = 0.408 cubic cm.

4. Find the number of cubical boxes of cubical side 3 cm which can be accomodated in carton of dimensions 15 cm × 9 cm × 12 cm.

Volume of box = side × side × side.

                     = 3 × 3 × 3

                     = 27 cu. cm.

Volume of carton = length × breadth × height.

                         = 15 × 9 × 12

                         = 1620 cu. cm.

Number of boxes = Volume of carton/Volume of each box.

                         = 1620/27

                         = 60

Therefore, number of cubical boxes = 60.

5. How many bricks each 25 cm long, 10 cm wide and 7.5 cm thick will be required for a wall 20 m long, 2 m high and 0.75 m thick? If bricks sell at $900 per thousand what will it cost to build the wall?

Volume of the wall = 20 m × 2 m × 0.75 m

                          = 20 × 100 cm × 2 × 100 cm × 0.75 × 100 cm

Volume of brick = 25 cm × 10 cm × 7.5 cm

Number of bricks = Volume of the wall/Volume of the brick

                        = 20 × 100 × 2 × 100 × 0.75 × 100/25 × 10 × 7.5

                        = 16000

The number of bricks = 16000

The cost of 1 thousand bricks = $ 900

The cost of building the wall = $ 900 × 16 = $ 14400

Note: While calculating the volume of a cuboid all the dimensions should be changed into the same unit.

Answered by arnab2261
1
 {\huge {\mathfrak {\orange {Answer :-}}}}

Total number of cubes = 48.

Suppose, the 48 cubes that are placed form a cuboid.

Thus, Volume is = 48.

There are 4 layers of cubes.

So, height (h) = 4.

Again, 4 cubes are place lengthwise.

So, length (l) = 4.

And breadth (b) = ?

We have to find out breadth.

 {\mathfrak {\pink {-:Volume :-}}}

Volume = l * b * h

So, 4 * b * 4 = 48.

Or, b = 48/16 = 3.

Thus, breadth = 3.

➡️  <b>Hence, 3 cubes were placed breadth-wise. </b>

That's it..
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