Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot
1 answer:
Answer:
The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.
To find:
The volume of the rectangular prism.
Solution:
Let the length, breadth and height are 21 in, 20 in and 19 in respectively.
Volume of the rectangular prism is
Therefore, the volume of the rectangular prism is 7980 cubic inches.
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The attached image shows the image of A"B"C" after the transformation
<h3>What is the transformation of the triangle about?</h3>The transformation rule states:
A"B"C" = Ro90° (T(-4,3)(ABC))
This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.
Using the image shown, the coordinates of ABC are;
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The 90⁰ rule clockwise rotation will be:
(x,y) -- (y,-x)
So, when translated, it will be:
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
Then the translation of the triangle using T(-4,3):
(x, y) - (x - 4, y + 3)
So, there is:
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
Learn more about transformation from:
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