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Mathematics 93 Online
Tonycoolkid21:

please help

Tonycoolkid21:

Tonycoolkid21:

espressomachine:

V = 1/2 (5*3*8.5)

Extrinix:

So the equation for this is \(V=\dfrac{1}{2}bah\) so we must find the area before we can find the volume, which is: \(A=\dfrac{1}{2}bh\) so \(A=\dfrac{1}{2}(5\times8.5)\) find the area and then continue on, finding the volume of a triangular prism would be this: \(V=\dfrac{1}{2}(5)(a)(8.5)\)

Extrinix:

\(a\) being the Area of the triangular prism.

Tonycoolkid21:

ok what do i write in the box as my answer

Extrinix:

exactly, but to find the volume in this question, you need to find the area

Extrinix:

so you can do \(V=\dfrac{1}{2}bah\)

Tonycoolkid21:

what's thev0lume

AZ:

Where did both of you get your formulas from?

@thisguyhandsome wrote:
𝙏𝙝𝙚 𝙀𝙦𝙪𝙖𝙩𝙞𝙤𝙣 𝙛𝙤𝙧 𝙛𝙞𝙣𝙙𝙞𝙣𝙜 𝙫𝙤𝙡𝙪𝙢𝙚 𝙤𝙛 𝙖 𝙏𝙧𝙞𝙖𝙣𝙜𝙪𝙡𝙖𝙧 𝙋𝙧𝙞𝙨𝙢 𝙞𝙨; \[V=\frac{ 1 }{ 2}lwh\]
@extrinix wrote:
\(a\) being the Area of the triangular prism.
It's not a triangular prism nor would that be the formula for the volume

Extrinix:

that's the way i was taught to solve a question like this

AZ:

It's a rectangular pyramid... \(\text{Volume of rectangular pyramid}= \dfrac{1}{3} \times \text{Length} \times \text{Width} \times \text{Height}\) and the base length is 5 inches the base width is 3 inches and the height is 8.5 inches so what is the volume?

Tonycoolkid21:

thank you az

AZ:

What do you get as your final answer? Just multiply the 3 numbers and then divide by 3

Extrinix:

ohhhh, but wouldnt this be considered a square-based pyramid, so \(V=a^2\dfrac{h}{3}\)?

AZ:

The base is 5 by 3 so it's a rectangle not a square

Extrinix:

ah, ok, thanks AZ

Tonycoolkid21:

42.5

AZ:

no problem :)

AZ:

@tonycoolkid21 wrote:
42.5
That is correct!

Extrinix:

just more equations to add to my list of equations....

Tonycoolkid21:

k

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