The figure below shows two similar right triangular prisms.

Question

anonymous · Answer

attachment

anonymous · Answer

What is the volume of Prism B rounded to the nearest hundredth cubic unit?

 354.38

 140.0

 236.25

 157.5

paxpolaris · Answer

first find the missing side of Prism B:

what is it?

anonymous · Answer

idk

anonymous · Answer

7.5 ?

paxpolaris · Answer

yes.

paxpolaris · Answer

$$\large \frac5x=\frac69$$$$\large x={5\cdot \cancel93 \over \cancel6 2}=15/2=7.5 $$

paxpolaris · Answer

now calculate the the volume of Prism B

anonymous · Answer

where did 9 come from?

paxpolaris · Answer

in similar shapes corresponding sides make the same ratio.

I used 6 from prism A ... and 9 from B as a pair of corresponding sides.

paxpolaris · Answer

Volume of prism = (Area of base) $\times$ (Height of prism)

paxpolaris · Answer

so what's your answer? @redsox

anonymous · Answer

a ?

paxpolaris · Answer

$$\Huge \color{green} \checkmark$$
$$\Large V=\left( \frac 12\times 9 \times 10.5 \right)\times 7.5$$

anonymous · Answer

thanks

paxpolaris · Answer

there is also another way to find the volume of Prism B:

first find the volume of Prism A $=(1/2\cdot6\cdot7)\times5$

and then multiply it by $(3/2)^3$... because 3/2 is the ratio of the sides