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4 years ago

Ben has 4 unit cubes. how many different rectangular prisms can he make using all 4 unit cubes

Mathematics

2 answers:

kvv77 [185]4 years ago

7 0

Using 4 unit cubes 2 rectangular prisms could be made.

One with dimensions, $4\; unit \;by \;1 unit\; by\; 1 \; unit$ .

The other with dimensions, $2\; unit \;by \;2 unit\; by\; 1 \; unit$ .

The figure of a rectangular prism is given below.

miskamm [114]4 years ago

4 0

2 rectangular prisms.

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Peter & Alex share a lottery win of £4450 in the ratio 4 : 1. Peter then shares his part between himself, his wife & the

Dominik [7]

Answer:

His wife gets $1068 more than his son.

Step-by-step explanation:

Peter and Alex:

Peter gets $\frac{4}{4+5} = \frac{4}{5}$ of the total amount.

$\frac{4*4450}{5} = 3560$

Peter gets $3560. He divides with his wife and son.

Peter gets $\frac{1}{1+6+3} = \frac{1}{10}$ of the amount, the wife gets $\frac{6}{1+6+3} = \frac{6}{10}$ and the son gets $\frac{3}{1+6+3} = \frac{3}{10}$

Wife:

$\frac{6*3560}{10} = 2136$

His wife gets $2136

Son:

$\frac{3*3560}{10} = 1068$

How much more does his wife get over their son?

2136 - 1068 = 1068

His wife gets $1068 more than his son.

4 0

4 years ago

Find the geometric proof

GrogVix [38]

Answer:

See Explanation

Step-by-step explanation:

Line l is bisector of MO... (given)

$\therefore MN = NO.... (1)$

$\because MN + NO = MO..(M-N-O)$

$\therefore NO + NO = MO..[From \:(1)]$

$\therefore 2NO = MO$

$\therefore NO = \frac{1}{2} MO$

$\therefore NO = \frac{1}{2}\times 24..(\because MO=24)$

$\therefore NO =12$

Thus Proved

6 0

3 years ago

Read 2 more answers

I need help with this.<br> Find the surface area of each 3D figure below.

Bess [88]

Answer:2300 cm2

Step-by-step explanation:

First you want to divide 350 by 14. You get 25. Now multiply 25 x 26 and then divided by 2. Once you get that answer, multiply that 5 times since there is 5 triangles. Then, add that to the base area. Hopefully this is the right answer. let me know if it is.

5 0

3 years ago

The figure shows trapezoid ABCD on a coordinate plane.

docker41 [41]

Answer:

121 unit^2.

Step-by-step explanation:

The area = height/2 * ( sum of the opposite parallel lines)

= h/2(BC + AD

h = BF = 14 - 3 = 11 units.

BC = 13 - 5 = 8 units.

AD = 16 - 2 = 14 units.

Area = (11/2)(8 + 14)

= 5.5 * 22

= 121 unit^2.

5 0

3 years ago

Multiply the following using the vertical multiplication method 3x ^ 2 - 5x + 1 x * x ^ 2 + 2x + 4

Klio2033 [76]

Answer:

=x3+3x2−3x+4

Step-by-step explanation:

Let's simplify step-by-step.

3x2−5x+1xx2+2x+4

=3x2+−5x+x3+2x+4

Combine Like Terms:

=3x2+−5x+x3+2x+4

=(x3)+(3x2)+(−5x+2x)+(4)

=x3+3x2+−3x+4

7 0

3 years ago