All categories

3 years ago

If you double the dimensions of a cube what happens to the volume

1 answer:

8 0

By definition, a cube is a three-dimensional figure that have equal dimensions for all its sides. It comprises of two square bases, one on top and one on the bottom. The face sides are also squares. Therefore, the volume of a cube is equal to s³, where s is the measure of the side's length. To compare the change, let us assume values. First, suppose s=1. Then, we denote this volume as V₁.

V₁ = (1)³ = 1

Next, taking the double, s=2. The volume for this is denoted as V₂.

V₂ = (2)³ = 8

Taking the ratio of V₂ to V₁:

V₂/V₁ = 8

That means the scale factor is 8. When the side dimensions is doubled, the volume of the cube increases 8 times as great as the original volume.

You might be interested in

Zero, a hypothetical planet, has a mass of 4.5 x 1023 kg, a radius of 3.2 x 106 m, and no atmosphere. A 10 kg space probe is to

jok3333 [9.3K]

a.) K 2=K 1 +GmM( r 21− r 11)=2.2×10 7J

b.) K 2 +GmM( r 11− r 21)=6.9×10 7 J

Applying Law of Energy conservation :

K 1+U 1

=K 2+U 2

⇒K 1− r 1GmM

=K 2− r 2 GmM

where M=5.0×10 23kg,r1

=> R=3.0×10 6m and m=10kg

(a) If K 1

=5.0×10 7J and r 2

=4.0×10 6 m, then the above equation leads to

K 2=K 1 +GmM (r 21− r 11)=2.2×10 7J

(b) In this case, we require K 2

=0 and r2

=8.0×10 6m, and solve for K 1:K 1

=K 2 +GmM (r 11− r 21)=6.9×10 7 J

Learn more about Kinetic energy on:

brainly.com/question/12337396

#SPJ4

7 0

2 years ago

A proton moves through a magnetic field at 20.3 % of the speed of light. At a location where the field has a magnitude of 0.0062

galina1969 [7]

Answer:

Force on the proton will be $.73\times 10^{-14}N$

Explanation:

We have given speed of proton is 20.3% of speed of light

Speed of light $c=3\times 10^8m/sec$

So speed of proton $v=\frac{3\times 10^8\times 23}{100}=6.9\times 10^7m/sec$

Magnetic field B = 0.00629 T

Charge on proton $q=1.6\times 10^{-16}C$

Angle between velocity and magnetic field $\Theta =137^{\circ}$

Force on the proton is equal to $F=qvBsin\Theta =1.6\times 10^{-19}\times 6.9\times 10^7\times 0.00629\times sin(137^{\circ})=4.73\times 10^{-14}N$

4 0

3 years ago

The free-body diagram below represents the force of several vehicles driving across a bridge. Assume that the bridge is in stati

krek1111 [17]

In order to calculate the unknown reaction force, we need to know that the sum of forces pointing down is equal the sum of the forces pointing up, so all forces will be in equilibrium.

So we have:

$\begin{gathered} 17800+150000+13200=121000+x \\ 181000=121000+x \\ x=181000-121000 \\ x=60000 \end{gathered}$

7 0

1 year ago

Which of the following best drfines medium of exchange

insens350 [35]

A medium of exchange is an intermediary instrument used to facilitate the sale, purchase or trade of goods between parties. For an instrument to function as a medium of exchange, it must represent a standard of value accepted by all parties. In modern economies, the medium of exchange is currency.

8 0

2 years ago

What is the main difference between protons and neutrons?

Trava [24]

Answer:

C. Protons have an electrical charge, but neutrons have no charge.

Explanation:

Protons and neutrons both are parts of nucleus and they stay inside the nucleus due to large nuclear force between them

Mass of proton and mass of neutron is almost same or in more precisely we can say that neutrons are slightly heavy than protons

mass of neutrons is 1.008 amu while mass of protons are 1.007 amu.

the main different between them is that protons are positively charged and their charge is same as that of charge of electron

$q_{proton} = 1.6 \times 10^{-19} C$

while neutrons are electrically neutral and they do not have any charge on them.

so correct answer will be

C. Protons have an electrical charge, but neutrons have no charge.

4 0

3 years ago

Read 2 more answers