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
Pachacha [2.7K]
3 years ago
6

The ratio of the sides of 2 cubes is 2 to 7. If the volume of the smaller cube is 32 u3, then the volume of the larger cube is _

____ u3
Mathematics
1 answer:
satela [25.4K]3 years ago
5 0
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{2}{7}=\cfrac{\sqrt[3]{32}}{\sqrt[3]{v}}\implies \cfrac{2}{7}=\sqrt[3]{\cfrac{32}{v}}\implies \left( \cfrac{2}{7} \right)^3=\cfrac{32}{v}
\\\\\\
\cfrac{2^3}{7^3}=\cfrac{32}{v}\implies v=\cfrac{7^3\cdot 32}{2^3}
You might be interested in
Pls help me I idk how to do this anyone who helps gets a like but u have to tell the answer and pls explain find volume
IRISSAK [1]

Answer:

13(4++3-+$++3++3;3--+3;

6 0
3 years ago
If the sides of a triangle have the following lengths, find a range possible values for x
makvit [3.9K]

Answer:

9.5 < x < 15

Step-by-step explanation:

4 0
2 years ago
What is the value of x?
Alisiya [41]
The value of x is 3.14
7 0
3 years ago
Read 2 more answers
The original temperature is 29.9 the temperature decreases by 8.7 and then again by 17.8 what is the final temperature?
Inga [223]

Answer:

the final temperature is 39.0

7 0
3 years ago
Determine whether or not the two triangles are congruent. If they are state by what postulate.
avanturin [10]
Congruent
SSS (because of Pythagoras)
8 0
3 years ago
Other questions:
  • Complete the equation of the line through (2,1) and (5,-8)<br> WORTH 20 POINTS
    15·2 answers
  • PLS HELP ME ASAP FOR 8, 9, 10, and 11!!! (SHOW WORK!!! FOR ALL SHOW WORK!!!!! +LOTS OF POINTS!!
    10·2 answers
  • Equation of a horizontal line that contains the point (9,8)
    14·1 answer
  • The function f(x)--&gt;4-3sinx is defined for the domain 0≤x≤2pi
    12·1 answer
  • Two cyclists, 80 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they
    9·2 answers
  • PLEASE HELP ASAP FOR 15 POINTS There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white
    8·1 answer
  • Solve the equation 4s=112
    12·2 answers
  • When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?​
    7·1 answer
  • A circle has a radius of 12 centimeters. Which expression gives the circumference of the circle, in
    15·1 answer
  • Help! do as many as you want, and if you can, show you work.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!