Question

The two pyramids below are similar. What is the length of the altitude of thesmaller pyramid?8O A. 1O B.218O c.247O D.563

Answer 1

The dimensions given in the question are

`\begin{gathered} L=8 \\ l=3 \\ H=7 \\ h=x \end{gathered}`

To figure out the altitude of the small pyramid, we will use the similarity ratio below

`(l)/(L)=(h)/(H)`

By substituting the values, we will have

`\begin{gathered} (l)/(L)=(h)/(H) \\ (3)/(8)=(x)/(7) \\ cross\text{ mulitply, we will have} \\ 8* x=7*3 \\ 8x=21 \\ divide\text{ both sides by 8} \\ (8x)/(8)=(21)/(8) \\ x=(21)/(8) \end{gathered}`

Hence,

The final answer is

`\Rightarrow(21)/(8)`

OPTION B is the right answer