Answer:
96, 672 yards
Step-by-step explanation:
Volume = Length · width · height
Volume = 114 · 212 · 4
Volume = 96, 672 yards
I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set

for this example.)
The length of each cross section (the side lying in the base) has length determined by the horizontal distance

between the y-axis

and the curve

. In terms of

, this distance is

. The height of each cross section is twice the value of

, so the area of each rectangular cross section should be

.
This means the volume would be given by the integral
Answer:
<h2>
the answer is</h2><h2>
166 cm²</h2>
Step-by-step explanation:
we know that
surface area of the prism=2*area of the base+perimeter of the base*height
step 1
find the area of the base
area of the base=length* width
length=5 cm
width=4 cm
area of the base=5*4-----> 20 cm²
step 2
find the perimeter of the base
perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm
step 3
height=7 cm
step 4
find the surface area
surface area of the prism=2*area of the base+perimeter of the base*height
surface area of the prism=2*20+18*7----> 166 cm²
Step-by-step explanation:
In the picture, That's a correct answer.