A car rental company offers the following two plans for renting a car:
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Answer:
<h2>a. V = 420 cm³</h2><h2>b. V = 444 in³</h2><h2>c. V = 108 cm³</h2><h2>d. V = 324 m³</h2>Step-by-step explanation:
We have the rectangular prisms.
The formula of a volume of a rectangular prism is:
l - length
w - width
h - height
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Look at the picture.
a.
Two congruent rectangular prisms 14cm × 3cm × 5cm.
b.
One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:
c.
One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:
d.
One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:
The intersection can be parameterized by
with
.
By Stoke's theorem, the integral of
along 
is equivalent to
where
is the region bounded by . The line integral reduces to
with
By Stoke's theorem, the integral of
where