Question

What is the volume of the trapezoidal right prism?












A.

51 m3








B.

624 m3








C.

960 m3








D.

1248 m3

Answer 1

Could you help me with one more
@xMissAlyCatx ?

Answer 2

I actually have to go. Try to tag a qualified helper or a moderator..
Have a lovely day! <3

Answer 3

ok thanks for the help on the last one @xMissAlyCatx :)

Answer 4

@Michele_Laino

Answer 5

the volume \(V\), is:
\[\Large V = {\text{base area }} \times {\text{ height}}\]

Answer 6

where the height is \(4\) meters
so, we have to compute the base area, which is the area of an isosceles trapezoid

Answer 7

So is it 30 * 8?

Answer 8

@mathmale I posted it already

Answer 9

base area= area of the trapezoid, and
area of the trapezoid = \(A = \frac{{\left( {30 + 9} \right) \times 8}}{2} = ...?\)

Answer 10

\[\huge A = \frac{{\left( {30 + 9} \right) \times 8}}{2} = ...?\]

Answer 11

156?

Answer 12

correct!
So, the requested volume is:
\[\Large V = {\text{base area }} \times {\text{ height}} = 156 \times 4 = ...?\]

Answer 13

What's your '156' meant to represent?

Much of this work would make more sense to you if you'd make a point of using units of measurement.

156 what? (units of measurement?)

Answer 14

624

Answer 15

that's right!! :)
more precisely:
we can write this:
\[\Large A = \frac{{\left( {30 + 9} \right) \times 8}}{2} = 156\;{m^2}\]
\[\Large V = {\text{base area }} \times {\text{ height}} = 156 \times 4 = 624\;{m^3}\]

Answer 16

Again, please use units of measurement. Do you mean 624 years? 624 cows? Seriously, it's important to indicate what you are measuring.