Answer:
Step-by-step explanation:
A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:
Volume = width * height * length
From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.
The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.
The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.
The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.
The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ =
<span>Area of the upper rectangle = x(16 - 6) = 10x </span>yd²<span>
Area of the bottom rectangle = 6(x + 6) = 6x + 36 </span>yd²<span>
Total area = 10x + 6x + 36 = 16x + 36 yd</span>²
We want to find the coeficient of the y terms when added together so find all the y terms
+12y and +2y
we add them together
12y+2y=(12+2)y=(14)y=14y
coeficient is 14
the constant is the number that is set already or the number that doesn't have it multiplied by a placeholder exg. 4 is a constnat but 4x is not so find the constants
+5 and +8
we add
5+8=13
the constant is 13
y coeficient=14
constant=14
The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m
<h3>How to find the dimensions of the rectangle?</h3>
For a rectangle of length L and width W, the diagonal is:
Here we know that the diagonal is 169m.
And the ratio of the length to the width is 12:5
This means that:
W = (5/12)*L
Replacing all that in the diagonal equation:
So the length is 156 meters, and the width is:
W = (5/12)*156 m = 65m
Finally, the perimeter is:
P = 2*(L + W) = 2*(156 m + 65m) = 442m
If you want to learn more about rectangles:
brainly.com/question/17297081
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Answer:
2,000 is the value of the digit 2 in the thousands place