Answer:
<h2><em><u>16</u></em><em><u> </u></em><em><u>yards</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
Volume of the rectangular prism = 128 cubic yards
Base area of the prism = 8 square yards
<em><u>Let</u></em><em><u>,</u></em>
Height of the prism be = h
<em><u>As</u></em><em><u> </u></em><em><u>we</u></em><em><u> </u></em><em><u>know</u></em><em><u>,</u></em><em><u> </u></em>
Base area × height = Volume of the given prism
<em><u>Therefore</u></em><em><u>,</u></em><em><u> </u></em>
By the problem,
=> 8 sq. yd × h = 128 cu. yd
=> 8h = 128
- <em>(</em><em>On</em><em> </em><em>dividing</em><em> </em><em>8</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

- <em>(</em><em>On</em><em> </em><em>Simplification</em><em>)</em>
=> h = 16
<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>height</u></em><em><u> </u></em><em><u>(</u></em><em><u>h</u></em><em><u>)</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>prism</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>16</u></em><em><u> </u></em><em><u>yards</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
Step-by-step explanation:
in order to solve this system of equation we would say that let
3x+2y=-8........................................................ equation 1
1 x - y = -1 ........................................................ equation 2
from equation 2
1 x - y = -1 ........................................................ equation 2
x = -1 + y....................................... equation 3
substitute for equation 3 in equation 1
3x+2y=-8........................................................ equation 1
3( -1 + y) + 2y = 8
-3 + 3y +2y = 8
collect the like terms
-3 + 5y = 8
5y = 8 + 3
5y = 11
divide both sides by the coefficient of y
5y/5 = 11/5
y = 2.2
put the value y = 2.2 into equation 3
x = -1 + y....................................... equation 3
x = -1 + 2.2
x = 1.2
therefore th value of x is 1.2 and y is 2.2
314.16 yards^2 for the Area
In order to find this you must divide 365 by 30 to get a final answer of 12.17.