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Mathematics 13 Online
OpenStudy (anonymous):

What is the volume of the trapezoidal right prism? http://static.k12.com/calms_media/media/1422500_1423000/1422962/1/ecebe97b6fb223993511280716f722ba275a5d92/MS_PA_131002_171321.jpg A. 51 m3 B. 624 m3 C. 960 m3 D. 1248 m3

OpenStudy (anonymous):

@bibby

OpenStudy (anonymous):

I need ur help, i found out what i got wrong on 3 and 4 (i missed them) but 1 and 2 was correct

OpenStudy (mathstudent55):

The volume of a prism is the area of the base multiplied by the height.

OpenStudy (bibby):

same thing as before. 4 * the area of the base. find the trapezoid area where|dw:1426041231464:dw|

OpenStudy (mathstudent55):

Since this is a trapezoidal prism, the base is a trapezoid. You need to find the area of the trapezoid. Then multiply it by the height.

OpenStudy (anonymous):

btw, the reason why 3 and 4 were wrong was because i had to divide my total answer by 2

OpenStudy (anonymous):

just for future reference

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

now what??

OpenStudy (bibby):

I don't know which one 3 and 4 was. I am positive the ones I did were right

OpenStudy (anonymous):

you helped me with all of them, and it is okay if you did not know them , they were the triangle prisms

OpenStudy (anonymous):

not rectange prism,

OpenStudy (mathstudent55):

The area of a trapezoid is given by this formula: \(\large A=\dfrac{a+b}{2}h\) where a and b are the lengths of the bases, and h is the height.

OpenStudy (anonymous):

so is it \[V = \frac{ 30 }{ ? }\]

OpenStudy (anonymous):

oops

OpenStudy (anonymous):

i meas is it V= 30 + 9/2 4

OpenStudy (anonymous):

i am not good with the equation site

OpenStudy (mathstudent55):

In your case, the bases of the trapezoid are 9 m and 30 m. the height is 8 m. Use these dimensions to find the area of the trapezoid. Then multiply the area of the base by the height of the prism, 4 m.

OpenStudy (anonymous):

oh, not 4, 8

OpenStudy (mathstudent55):

Correct. \(A = \dfrac{9 + 30}{2} \times 4\)

OpenStudy (anonymous):

is it 78??

OpenStudy (anonymous):

wait no

OpenStudy (anonymous):

what next

OpenStudy (anonymous):

do i multiply 78 by 4??

OpenStudy (mathstudent55):

No. My mistake. There are two heights. The height of the trapezoid base is 8 m. Your formula above is correct. \(A = \dfrac{9 + 30}{2} \times 8\) gives the area of the base.

OpenStudy (anonymous):

oh i replaced the 8 with the 4

OpenStudy (anonymous):

woops

OpenStudy (anonymous):

ok hold on a sec.

OpenStudy (mathstudent55):

Use 8, not 4. You were correct in the first place. The area of the base is 156 m^2

OpenStudy (mathstudent55):

Now all you need to do is mulltiply that area by the height of the prism which is 4 m.

OpenStudy (anonymous):

IT IS B

OpenStudy (anonymous):

624

OpenStudy (anonymous):

am i right???

OpenStudy (anonymous):

I multiplied 156 by 4 to get b

OpenStudy (mathstudent55):

Correct.

OpenStudy (anonymous):

which is 624

OpenStudy (anonymous):

thx

OpenStudy (anonymous):

oh so much!!

OpenStudy (mathstudent55):

You're welcome. Answer is 624 m^3

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