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user100 [1]
2 years ago
15

The value of a rectangle is 128 cubic yards. The base of the prism has an area of 8 square yards.

Mathematics
1 answer:
san4es73 [151]2 years ago
5 0

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>

=  >  \frac{8h}{8}  =  \frac{128}{8}

  • <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>

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