Question

A right prism is defined to be a solid figure that has two parallel, congruent polygonal bases, and rectangular lateral faces. How would you find the volume of such a figure? Explain your method.

Answer #1

The dimensions of the rectangular prism are 56 mm by 19mm by
59mm. It has a cylindrical hole of diameter 6mm. Find the volume
and surface area of the solid in mm and cm. How many milliliters of
liquid would you need to fill the solid?
*Show dimensional analysis and step by step along the way. Nets
are required.*

∠ABC is a right angle. AB = 8 inches,
BC = 13 inches, and AD = 3 feet. Determine the
surface area (in square inches) and volume (in cubic inches) of the
following. (Round your answers to one decimal place.)
A triangular prism is given. The prism is oriented so that the
top and bottom faces are triangles. Four vertices of the prism are
labeled as follows:
The bottom left vertex of the top triangular face is labeled
A.
The...

The (Figure 1) shows two thin beams joined at right angles. The
vertical beam is 13.0 kg and 1.00 m long and the horizontal beam is
29.0 kg and 2.00 m long. Neglect the lateral dimensions of the
beams.
Find the center of gravity of the two joined beams. Express your
answer in the form x,y, taking the origin at the corner where the
beams join.
Calculate the gravitational torque on the joined beams about an
axis through the corner.

Two infinite, nonconducting sheets of charge are parallel to
each other as shown in the figure below. The sheet on the left has
a uniform surface charge density σ, and the one on the
right has a uniform charge density −σ. Calculate the
electric field at the following points. (Use any variable or symbol
stated above along with the following as necessary:
ε0.)
(a) to the left of the two sheets
magnitude
E =
direction
---Select---to the left, to the...

As shown in the figure below, two long parallel wires (1 and 2)
carry currents of I1 = 3.32 A and I2 = 4.50 A in the direction
indicated. Two parallel wires point into the page. They are a
distance d apart from each other, with the left wire labeled I_1 at
the origin and the right wire labeled I_2 a distance d along the
positive x-axis. There is a point labeled P directly above wire I_1
a distance d...

In the figure, a proton is projected horizontally midway between
two parallel plates that are separated by 0.50 cm. The electrical
field due to the plates has magnitude 610,000 N/C between the
plates away from the edges. If the plates are 5.60 cm long, find
the minimum speed of the proton if it just misses the lower plate
as it emerges from the field. Please enter your answer in m/s
without using scientific notation. (e = 1.60 × 10-19 C,...

Q8
Two solid spheres of equal radius and equal mass start at rest at
the same height and move to the bottom of two different curved
ramps in two different ways.
In the first case (i), depicted in the left figure above, the ramp
has no friction so the sphere slides without rotating. In the
second case (ii), depicted in the right figure above, the sphere
rolls without slipping down the ramp.
In which case will the sphere have more...

Consider a consumer that has preferences defined over bundles
of non-negative amounts of each of two commodities. The consumer’s
consumption set is R2+. Suppose that the consumer’s preferences can
be represented by a utility func- tion, U(x1,x2). We could imagine
a three dimensional graph in which the “base” axes are the quantity
of commodity one available to the consumer (q1) and the quantity of
commodity two available to the consumer (q2) respec- tively. The
third axis will be the “height”...

Why does the operation of addition have to be defined as the
joining of two non-intersecting sets?
Give an example of a problem where you combined two sets which
are non-intersecting, and then give an example of adding two sets
which have an intersection and explain why that is a problem.
(Think about two Venn Diagram with two sets each. One of the
Venn diagrams has an intersection and one of them does not--how
would the total number of elements...

Use the method of cylindrical shells to find the volume of the
solid found by revolving the region bounded by y=2x and y=x^2 about
the y-axis.
For full credit, I expect to see the following: A graph of the
bounded region between the two functions. A representative
cylinder. Algebraic solutions for points of intersection. You won’t
get full credit if you only write the points of intersection
without showing the algebra. The set up for the integral(s).
Anti-derivative(s). Work and/or...

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