Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
After the translation 4 units down
The rule of translation is (x, y) to (x , y-4)
The graph will be as following
============================================================================
For the graph of the triangle:
D = ( 4 , 0) , B = (6 , -2) and C = ( 10 , -2)
it is required to graph after translation 7 units left and 8 units up
So, for each point add ( -7 , 8 )
So,
D' = ( -3 , 8) , B' = (-1 , 6 ) and C' = ( 3 , 6)
the graph will be as following:
You do 3832083082x 32u393829832983x to get this 5,418
We shall use the equation A = i(1 + r/n)^nt
So we shall plug all of that in so it turns out like this:
A = 4000(1 + 0.04/4)^4 x 7
So then that can be simplified to A = (1.01)^28
and then to A = 4000(1.321)
so then A = 5285.16