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Shkiper50 [21]
1 year ago
8

8. The volume of the pyramid is 168 cubic inches. Find the length of the rectangular base. (3pts)7 inI8 in.

Mathematics
1 answer:
olya-2409 [2.1K]1 year ago
5 0

The length of the rectangular base is 9in

<h3>How to determine the value</h3>

It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;

Volume = lwh/3

Where;

  • l is the length of the rectangular base of the pyramid
  • w is the width of the rectangular base of the pyramid
  • h is the height of the rectangular base of the pyramid

Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;

168 = l × 7 × 8/ 3

cross multiply

l × 7 × 8 = 168(3)

Find the product

56l = 504

To determine the length, divide both sides by 56, we get;

l = 504/ 56

l = 9In

Hence, the value is 9in

Learn more about volume here:

brainly.com/question/463363

#SPJ1

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Step-by-step explanation:

Step 1: Write equation

7 + 11x + 60 = -13 + 3x

Step 2: Solve for <em>x</em>

  1. Combine like terms: 11x + 67 = -13 + 3x
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  3. Subtract 67 on both sides: 8x = -80
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Step 3: Check

<em>Plug in x to verify it's a solution.</em>

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