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2 years ago

What is the volume of the prism if each cube has 1-cm sides?

Mathematics

1 answer:

vivado [14]2 years ago

7 0

It depends on the shape of your prism. each cube has 1 cm cubed as their volume

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What is the ratio of these volumes if the dimensions were length = 4, width = 3, and height = 2? Fill out the table below.

tatyana61 [14]

Explanation:

Linear escale factor 1.

In this case the original volume of the parallelepiped is:

$Volume=4*2*3=24\text{ u}^3$

24 cubic units and the new volume must be:

$NewVolume=\left(4*1\right)\left(2*1\right)\left(3*1\right)=24u^3$

So in this case the ratio of volumes is 1:1

Linear escale factor 2.

In this case the original volume of the parallelepiped is the same: 24 cubic units.

The new voume must be:

$NewVolume=\left(4*2\right)\left(2*2\right)\left(3*2\right)=8*4*6=192u^3$

So in this case the ratio of volumes is 24:192, that is 1:8

Linear escale factor 3.

In this case the original volume of the parallelepiped is the same: 24 cubic units.

The new voume must be:

$NewVolume=(4\times3)(2\times3)(3\times3)=12*6*9=648u^3$

So in this case the ratio of volumes is 24:648, that is 1:27

Linear escale factor 4.

In this case the original volume of the parallelepiped is the same: 24 cubic units.

The new voume must be:

$NewVolume=(4\times4)(2\times4)(3\times4)=16\times8\times12=1536u^3$

So in this case the ratio of volumes is 24:1536, that is 1:64

Linear escale factor r.

In this case the original volume of the parallelepiped is the same: 24 cubic units.

The new voume must be:

$NewVolume=(4*r)(2*r)(3*r)=4r\times2r\times3r=24r^3\text{ }u^3$

So in this case the ratio of volumes is 24:24r^3, that is:

$1:r^3$

5 0

11 months ago

please help me explain what his mistake was. If possible does anyone think they can explain it in a simplified way? Thank You fo

slava [35]

Answer:

Dont think eh multiplied both sides by 4. That would be the first step.

Step-by-step explanation:

1/4(x+12)=2

multiply both sides by 4

x+12=8

move the 8 to the right side of the equation and change its sign

x=8-12

calculate

x= -4

8 0

3 years ago

Read 2 more answers

Which answer shows the decimals 122.19, 122.10, and 122.01 written in order from least to greatest? A. 122.19, 122.10, 122.01 B.

Travka [436]

It would be d .......

7 0

2 years ago

DO ANYONE KNOW HOW TO DO DILATIONS..I NEED HELP.ILL GIVE BRAINLEST AND POINTS

tangare [24]

Answer:

C' = (2, 1)

Step-by-step explanation:

The co-ordinates of C from the graph is: C(6, 3).

When a co-ordinate is dilated by a factor, say 'a' then each term in the co-ordinate is dilated by 'a'.

Therefore, here, we will have: $\frac{1}{3}$ (6, 3)

= (2, 1)

Call this C'. Therefore, the co-ordinate of C' = (2, 1).

Hence, the answer.

8 0

3 years ago

One pine tree produced

Ierofanga [76]

78 times 42=3,276

72 times 53=3,816

3276+3826=7102

5 0

2 years ago