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The bases of the prism below are rectangles. If the prism's height measures 3 units and its volume is 126 units33 , solve for xx.

The bases of the prism below are rectangles. If the prism's height measures 3 units-example-1
User Xahtep
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2 Answers

24 votes
24 votes

The value of x is 6 units

To determine the value of the variable x, we have to know that the formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that the parameters of the formula are;

  • V is the volume
  • l is the length
  • w is the width
  • h is the height

Now, substitute the values, we have;

126 = x ×7 × 3

Multiply the values, we get;

126= 21x

Now, divide both sides of the equation by the coefficient of x, we have;

x = 126/21

x = 6 units

User IVO GELOV
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11 votes
11 votes

Given,

The volume of the rectangular prism is 126 unit^3.

The height of the rectangular prism is 3 units.

The breadth of the rectangular prism is 7 units.

Required:

The length of the rectangular prism.

The volume of the rectangular prism is calculated as:


Volume\text{ = length}* breadth* height

Substituting the values then,


\begin{gathered} Volume\text{ = length}* breadth* height \\ 126=7* x*3 \\ 126=21x \\ x=(126)/(21) \\ x=6 \end{gathered}

Hence, the length of the rectangular prism is 6 units.

User Fandasson
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