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kykrilka [37]
3 years ago
9

Amit makes a cuboid having sides 3cm, 2cm & 3cm. How many such cuboids will be required to form a cube.​

Mathematics
2 answers:
Aneli [31]3 years ago
8 0

Answer:

Hi,

Answer: 12

Step-by-step explanation:

lcm(3,2,3)=6

Volume of a cuboid=3*2*3=18 (cm³)

Volume of the cube=6³=216 (cm³)

Number of cuboids=216/18=12.

Tatiana [17]3 years ago
5 0

Start with a volume of a cuboid,

V=abc=3\cdot2\cdot3=18\mathrm{cm^3}

The side of the cube we need equals to the LCM of the cubiod's sides,

\mathrm{LCM}(a,b,c)=\mathrm{LCM}(3,2,3)=6

Now compute the volume of such cube,

V=\mathrm{LCM}(a,b,c)^3=6^3=216\mathrm{cm^3}

Divide the volumes to get how many cubiods are in such cube,

\dfrac{V_{\mathrm{cube}}}{V_{\mathrm{cubiod}}}=\dfrac{216}{18}=\boxed{12}

Hope this helps :)

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Alborosie

Answer:

A dilation factor by 1/2

Step-by-step explanation:

Find the distance of AB and BC which is 4 for each of them. A'B' and B'C' distance is 2. 4 * 1/2 = 2. Therefore the answer must be 1/2.

3 0
3 years ago
Which of the following is a solution of 4x2 = − 9x − 4? (2 points) 9 plus or minus the square root of 17 divided by 8. negative
NemiM [27]

Answer:

4x^2 + 9x + 4 = 0

Using the quadratic formula:

x = [-9 +- sqrt(81 - (-64)] / 2 * 4

x = [-9 +- sqrt (145)] / 8

So, the solution is your second answer:

negative 9 plus or minus the square root of 145 divided by 8.

5 0
4 years ago
Read 2 more answers
The length of a rectangle is 5 cm more than its width. The perimeter is 82 cm. Find the length of the rectangle.
weeeeeb [17]

We will represent the length of the rectangle as l and the width as w.


From this problem, we can say l = w + 5. We can also deduct an equation from the second sentence:

2l + 2w = 82

2(w + 5) + 2w = 82 (from substitution)

2w + 10 + 2w = 82

4w = 72

\boxed{w = 18}


Using this value for w, we can find l:

l = 18 + 5

\boxed{l = 23}


The length of the rectangle is 23 cm and the width of the rectangle is 18 cm.

7 0
4 years ago
What property would you use to find an equivalent expression for 8 + ( 7 + 9)?
marissa [1.9K]

Answer:

Associative Property

Step-by-step explanation:

  1. I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).
  2. Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)
  3. 8 + 7 + 9
  4. (8 + 7) + 9
  5. (8 + 9) + 7

I hope this helps!

4 0
3 years ago
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the width of a rectangle is 15 units less than the length. if the area is 76 square units, then find the dimensions of the recta
Lelu [443]
W = L - 15
WL = 76

(L-15)L = 76

L^2 - 15L - 76 = 0
(L-19)(L+4) = 0

L = 19 or -4
Since a length cannot be negative, the length must be 19 units.
The width is 19-15=4 units.
6 0
4 years ago
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