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kompoz [17]
3 years ago
9

A boy makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How manny such cuboids will he need to form a cube?

Mathematics
1 answer:
ruslelena [56]3 years ago
3 0

Answer:

Step-by-step explanation:

L.C.M. of 5,2=10

so it should be  of dimensions 10×10×10

it should have 5 cuboids in first row.

then it will make a cuboid 5×10×5

5 cuboids in the second row on top of first row .

Then it will make 5×10×10 cuboid

To make 10×10×10

double the cuboids  to make the length=10 and height=10..

so in all 20 cuboids are needed.

2 rows of 5 cuboids on the floor and 2 rows of 5 cuboids on the top.

in all 10 cuboids of  dimensions 5×2×5

so 9 more cuboids are needed to make a c

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PERMUTATION:
horsena [70]

Answer:

28

Step-by-step explanation:

It can be a one digit no.

_

2C1 = 2 (only two even options available)

It can be a 2 digit no.

_ _

The last digit has to be even for the no. to be even.

2C1 × 4C1 = 8 (2C1 for the last digit, 4C1 for the first)

It can be a 3 digit no.

_ _ _

First digit has to be less than 5 to be less than 500, and the last digit has to be even.

1) 2/4 _ 4

2C1 × 3C1 = 6 (2C1 to choose between 2 and 4, 3C1 for the second digit)

2) 1/3 _ 2/4

2C1 × 3C1 × 2C1 = 12 (2C1 to choose between 1 and 3, 3C1 for the second digit, 2C1 to choose between 2 and 4)

Total = 2 + 8 + (6 + 12)

= 28

5 0
3 years ago
What is an equation of the line that passes through the point (5, 4) and is parallel to
Fofino [41]

Answer:

6x - 5y does not change as it is parallel so I put x = 5 & y = 4 in this equation and the result is 6 × 5 - 5 × 4 = 30 - 20 = 10 so the parallel equation is 6x - 5y = 10

6 0
3 years ago
2x 2 - 4x + 6 = 0 is in general form.
d1i1m1o1n [39]

2x² - 4x + 6 = 0 /:2

x²-2x+3=0


Δ=(-2)²-4·1·3=4-12=-8<0


x∈∅

8 0
3 years ago
Explain what the equation 110d = 100d + 40 represents<br>in the context of the example problem.​
Tanya [424]

<em>This means that at some specific number of days the cost for Oceanview and  Beachside will be the same.</em>

<h2 /><h2>Explanation:</h2>

See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:

Total cost for Oceanview:

c=100d+40

Total cost for Beachside:

c=110d

Where:

c:Represents \ the \ cost \\ \\ d:Represents \ the \ number \ of \ day

So we have to explain what the equation:

110d=100d+40

represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and  Beachside will be the same.</em>

This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>

<h2>Learn more:</h2>

Linear equations: brainly.com/question/12412678

#LearnWithBrainly

3 0
3 years ago
A quadrilateral has three angles that measure 90o , 100o, and 120o. Which is the measure of the fourth angle?
Reptile [31]

360 - (100 + 90 + 120)  \\ 360 - 310 = 50
it measures 50


good luck
3 0
3 years ago
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