All categories

2 years ago

There are exactly 1,944 of the 12-, or 0.5-, cubes inside a rectangular prism.

Mathematics

1 answer:

drek231 [11]2 years ago

7 0

The volume of the rectangular prism is 3359232 cubic centimeters

<h3>How to determine the volume?</h3>

The length of the cube is given as:

Length, l = 12 cm

The volume of a cube is:

$V = l^3$

So, we have:

$V = 12^3$

Evaluate

V = 1728

The volume of 1944 cubes is then calculated as:

Volume = 1728 * 1944

Evaluate

Volume = 3359232

Hence, the volume of the rectangular prism is 3359232 cubic centimeters

You might be interested in

Help me find Sample variance and standard deviation

AnnZ [28]

First, find the mean. You'll need it to compute the variance.

$\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11$

The variance of the sample is then computed with the formula

$s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5$

The standard deviation is the square root of the variance, so

$s=\sqrt{35.5}\approx5.958$

5 0

3 years ago

If anyone can help, thanks!

saul85 [17]

Note: This is a perfect application for equations of ratios.

50 40

------- = ------- and so 50x = 1200, or 5x = 120, or x = 24 (miles).

30 x

3 0

3 years ago

How to prove this using trig identities?

Pavlova-9 [17]

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

= (sin2B + cos2B)/[(cosB)(sinB)]

= 1/[(cosB)(sinB)]

= (1/cosB)(1/sinB)

= (secB)(cscB)

7 0

3 years ago

While at a craft fair, Colleen found a stand selling bars of homemade soap for 3$ each. She liked so many of the different scent

earnstyle [38]

Answer:
3x > 18

step-by-step explanation:
3x > 18

3 0

3 years ago

A sofa is on sale for $703 which is 24% less than the regular price what is the regular price

Firdavs [7]

Hello!

We could write this as an equation below.

0.76x=703

We divide both sides by 0.76.

x=925

Therefore, the regular price is $925.

I hope this helps!

5 0

3 years ago

Read 2 more answers