If they are similar, and the second cube's length is 3 times that of the first, then all of the sides are 3 times as large.
To calculate the volume, we multiply the length by the width by the height, each of which is 3 times as big. So, in total, the volume is 27 times larger in the second prism than the first.
So, if the first volume is 30 cubic centimetres, the second one would be 810 cubic centimetres.
Hope I helped! xx
Answer:
Step-by-step explanation:
j represents the amount of juice
2 : 3 :: j : 18 proportion
3j = (2)(18)
Let's say that the number we are looking for is called 'x'.
3 * x = 40
3x = 40
To solve for 'x', we will need to divide both sides by 3.
3x/3 = 40/3
40/3 or 13 1/3 can be multiplied by 3 to get 40.
Answer:
Step-by-step explanation:
The area for a trapezoid is

h is the length of ST, one of the bases is the length of MK, and the other base is the length of AS. First we'll find h:
The coordinates for S are (0, -2) and T are (1, 2). Using the distance formula:
and
. So h = √17
Now for the length of MK. The coordinates for M are (-7, 4) and for K (5, 1). Using the distance formula again:
and
so
which simplifies to
. So MK = 3√17.
Now for the length of AS. The coordinates for A: (-4, -1) and for S: (0, -2). Using the distance formula one more time:
and
and
. So AS = √17.
Now we can fill in our area formula:

Simplifying a bit:
and simplifying a bit more:
and
A = 34
Answer:
Given: P.E=6.0J Height (h)= 3m g=9.8m/s^2
mass=?
Formula: P.E=mgh
m=P.E/gh
Application:<em> </em><em>To</em><em> </em><em>find</em><em> </em><em>mass</em><em> </em><em>of</em><em> </em><em>an</em><em> </em><em>apple</em>
Answer+unit= 0.2 kg
Step-by-step explanation:
m=P.E/gh
= 6kgm^2/s^2 ÷ 9.8m/s^2*3m
=0.2kg