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NemiM [27]
3 years ago
14

each face of cabinet 413S is in the shape of a rectangle. What is the volume of Model 413S in cubic feet? Dimension are 24 by 72

by 18. ( in inches )
Mathematics
1 answer:
lbvjy [14]3 years ago
7 0
To calculate a volume of a rectangle prism, a cabinet we only need to multiply the dimensions it has, those are height, width, deep:
v = (24)(72)(18)
v = 31104 in^3
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What set of transformations could be applied to rectangle ABCD to create A″B″C″D″? 'Rectangle formed by ordered pairs A at negat
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Answer:

Reflection over the y-axis and rotation of 180°

Step-by-step explanation:

We have,

Rectangle ABCD with co-ordinates A(-4,2), B(-4,1), C(-1,1) and D(-1,2).

It is transformed to a new rectangle A'B'C'D' with co-ordinates A'(-4,-2), B'(-4,-1), C'(-1,-1) and D'(-1,-2).

The graph of both the triangles is shown below.

we see that,

The rectangle ABCD is reflected about y-axis and then rotated 180° to obtain A'B'C'D'.

                     Reflected about y-axis                     Rotation of 180°

A= (-4,2)                     (4,2)                                              A'= (-4,-2)

B= (-4,1)                      (4,1)                                                B'= (-4,-1)

C= (-1,1)                       (1,1)                                                 C'= (-1,-1)

D= (-1,2)                      (1,2)                                                 D'= (-1,-2)

Hence, the second rectangle is formed by: Reflection over the y-axis and rotation of 180°.

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