Answer:
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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
Answer:
Enlargement.
Scale Factor: 3
Step-by-step explanation:
Use points to find the enlargement. Typically, you will use all the points.
A(1 , 1) ⇒ A'(3 , 3)
B(2 , 1) ⇒ B'(6 , 3)
C(1 , 2) ⇒ C'(3 , 6)
D(2 , 2) ⇒ D'(6 , 6)
To find the scale factor, simply divide the Point' with the original Point. Use any number.
A'(3 , 3)/(A(1 , 1)) = 3
B'(6 , 3)/(B(2 , 1)) = 3
C'(3 , 6)/(C(1 , 2)) = 3
D'(6 , 6)/(D(2 , 2)) = 3
Your scale factor is 3.
Your answer would be, -6ap^3
The first two rows of coefficients are identical, so by inspection, the determinant is 0.