Solid Mensuration: Prismatoid

The altitude of the storage bin shown in the sketch is 12ft and the bases are parallel rectangles having the dimensions indicated. Find the capacity. img_20201220_174902.jpg

Tags: 
Jhun Vert's picture

$A_1 = 8 \times 7 = 56 ~ \text{ft}^2$

$A_2 = 14 \times 11 = 154 ~ \text{ft}^2$

$A_m = \dfrac{8 + 14}{2} \times \dfrac{7 + 11}{2} = 99 ~ \text{ft}^2$

$L = 12 ~ \text{ft}$
 

$V = \frac{1}{6}L(A_1 + 4A_m + A_2)$

Add new comment

Deafult Input

  • Allowed HTML tags: <img> <em> <strong> <cite> <code> <ul> <ol> <li> <dl> <dt> <dd> <sub> <sup> <blockquote> <ins> <del> <div>
  • Web page addresses and e-mail addresses turn into links automatically.
  • Lines and paragraphs break automatically.
  • Mathematics inside the configured delimiters is rendered by MathJax. The default math delimiters are $$...$$ and \[...\] for displayed mathematics, and $...$ and \(...\) for in-line mathematics.

Plain text

  • No HTML tags allowed.
  • Lines and paragraphs break automatically.