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3 years ago

Asif makes a cuboid of plasticine of sides 75cm, 35cm and 21cm. How many such cuboids will he need to form a cube?

Mathematics

1 answer:

algol [13]3 years ago

8 0

Answer:

The number of cuboids that will be needed to form a cube is 2625 cuboids

Step-by-step explanation:

To form a cube, we have;

The length = The height = The depth

The dimensions of the given cuboid = Length = 75 cm, the width = 35 cm, the depth = 21 cm.

Therefore;

The lowest common multiple of 75, 35, and 21, for the cuboid is given as follows;

75 = 5 × 5 × 3

35 = 5 × 7

21 = 3 × 7

Therefore, multiplying 75 by 7, we get;

75 × 7 = 525

Since 7, 5 and 3 are factors of 525, 35 and 21, can also be factors as we check;

525/35 = 15

525/21 = 25

Therefore, the cube will be;

The length of the cube will consist of 7 pieces of the cuboid, arranged with the side 75 cm facing the front

The depth of the cuboid will be 15 cuboids with the side 35 cm facing the sides

The height of the cuboid will be 25 cuboids with the side 21 cm high

The total number of cuboids is therefore;

7 × 15 × 25 = 2625 cuboids

The number of cuboids that will be needed to form a cube = 2625 cuboids.

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The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

jek_recluse [69]

Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$

95% of all values lie within the 1 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$

99.7% of all values lie within the 1 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

$\mu = 55\\\sigma = 4$

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$ = $(55-4,55+4)$ = $(51,59)$

95% of all values lie within the 2 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$ = $(55-2(4),55+2(4))$ = $(47,63)$

99.7% of all values lie within the 3 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$ = $(55-3(4),55+3(4))$ = $(43,67)$

Refer the attached figure

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3 years ago

Is this right, d 3 cubic inits

aleksandr82 [10.1K]

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= 1 X 1 X 1 = 1
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3 years ago

4. If mZDEF = 3x +1 and mZDEG = 5x +19, find the value of x.The image attached isn't the right interpretation of the question.

cestrela7 [59]

Answer

x = 17

Step-by-step Explanation

The question gives us Angle DEF as (3x + 1) and Angle DEG as (5x + 19).

Note that G is the lower end of the diagram.

What isn't evident from the diagram is that Line EF is a bisector for the DEG.

If Line EF is the bisector, this means that it divides the angle into two equal parts.

(Angle DEG) = (Angle DEF) + (Angle FEG)

Angle DEG = (5x + 19)

Angle DEF = (3x + 1)

Angle FEG = Angle DEF (Since we already established that line EF being a bisector means it divides Angle DEG into two equal parts)

So,

Angle FEG = Angle DEF = (3x + 1)

(Angle DEG) = (Angle DEF) + (Angle FEG)

Substituting the parameters

(5x + 19) = (3x + 1) + (3x + 1)

5x + 19 = 3x + 3x + 1 + 1

5x + 19 = 6x + 2

Collecting like terms by bringing all the coefficients of x to the same side

6x + 2 = 5x + 19

6x - 5x = 19 - 2

x = 17

Hope this Helps!!!

4 0

1 year ago