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
@bibby
I need ur help, i found out what i got wrong on 3 and 4 (i missed them) but 1 and 2 was correct
The volume of a prism is the area of the base multiplied by the height.
same thing as before. 4 * the area of the base. find the trapezoid area where|dw:1426041231464:dw|
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.
btw, the reason why 3 and 4 were wrong was because i had to divide my total answer by 2
just for future reference
okay
now what??
I don't know which one 3 and 4 was. I am positive the ones I did were right
you helped me with all of them, and it is okay if you did not know them , they were the triangle prisms
not rectange prism,
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.
so is it \[V = \frac{ 30 }{ ? }\]
oops
i meas is it V= 30 + 9/2 4
i am not good with the equation site
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.
oh, not 4, 8
Correct. \(A = \dfrac{9 + 30}{2} \times 4\)
is it 78??
wait no
what next
do i multiply 78 by 4??
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.
oh i replaced the 8 with the 4
woops
ok hold on a sec.
Use 8, not 4. You were correct in the first place. The area of the base is 156 m^2
Now all you need to do is mulltiply that area by the height of the prism which is 4 m.
IT IS B
624
am i right???
I multiplied 156 by 4 to get b
Correct.
which is 624
thx
oh so much!!
You're welcome. Answer is 624 m^3
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