1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dybincka [34]
3 years ago
6

Tamara stacked two cubes, as shown. 2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side length

s of 12 inches. What is the total volume of the cubes? 1st cube volume: V = Bh V = (12)(12)(12) 2nd cube volume V = Bh V = (24)(24)(24) The total volume of the cubes is cubic inches.
Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer:

15 552 in³

Step-by-step explanation:

Since cubes have the same side lengths all around, to find the volume, you need to have one side length and cube it.

Cube 1 : 24³ = 24 x 24 x 24 = 13 824 in³

Cube 2 : 12³ = 12 x 12 x 12 = 1 728 in³

Now, to find the total, just add the volumes.

13 824 + 1 728 = 15 552 in³

You might be interested in
A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner
frozen [14]

Answer:

I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner I_{corner} is:

I_{corner} = \int\limits \int\limits_R (x^2+y^2)  \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx

where :

(a and b are the length and the breath of the rectangle respectively )

I_{corner} =  \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx

I_{corner} =  \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx

I_{corner} =  \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}

I_{corner} =  \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]

I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

Thus; the moment of inertia of the lamina about one corner is I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

7 0
2 years ago
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
How to add parentheses to the expression 9+5÷5+2 so the value is 2
Deffense [45]

Answer:

9+(5÷5)+2

Step-by-step explanation:

4 0
3 years ago
How to find the height of a cube in terms that a 12 year old can know pls
kolbaska11 [484]

Answer:

To find the height of a cube you simply need to know the length of the sides of a cube.

Step-by-step explanation:

All sides of a cube are equal because it is made up of squares. If a cube has a length of 3 cm, then it will also have a height of 3 cm.

6 0
2 years ago
The line y = 2x - 16 is a tangent to the curve y = ax³ + bx at the point where x = 2. Find the value of a and of b.​
finlep [7]

I might not be right but a is 2 and b is 16

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • The base of a cone can be
    15·2 answers
  • Which number sentence is NOT an inequality?
    12·2 answers
  • When we plot all the points that satisfy an equation or inequality we __ it.
    13·1 answer
  • brainly is acting weird for me, loading very slowly to not at all and just getting error 404 message sometimes. searching is bro
    7·1 answer
  • Image attached<br> filler<br> filler<br> filler
    11·1 answer
  • Help ASAP! 25 points! I will also give brainliest!
    14·1 answer
  • 1/4*8/9 please help Ill give points​
    14·2 answers
  • A swimming pool is 20 m long 15 m wide and 3 m deep. Find the cost of repairing the
    7·1 answer
  • The names of all of the states in the United States are placed in a bag. One name is drawn from the bag. What is the theoretical
    7·1 answer
  • The Smith family went to eat at Buffalo Wild Wings. The bill was $43.86. They gave the server a 20% tip. How much did they pay a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!