Question

The side surface area of a regular quadrangular pyramid is 14.76 cm2, the total surface area is equal to 18 cm2. Calculate the height H and volume V of the pyramid.

Answer #1

The side surface area of a regular quadrangular
pyramid is 14.76 cm2, the total surface area is equal to 18 cm2.
Calculate the height H and volume V of the pyramid.

A pyramid has a height of 461 ft and its base covers an area of
11.0 acres (see figure below). The volume of a pyramid is given by
the expression
V =
1
3
Bh,
where Bis the area of the base and h is the
height. Find the volume of this pyramid in cubic meters. (1 acre =
43,560 ft2)

A right square pyramid has a height of 50 meters (from the
center of the base to the apex) and a base with sides 50 meters
long. (a) Determine the volume of the pyramid. (b) Determine the
surface area of the pyramid, not including the base.
(a) Determine the volume of the pyramid.
(b) Determine the surface area of the pyramid, not including the
base.

A teapot with a surface area of 750 cm2 is to be
plated with silver. It is attached to the negative electrode of an
electrolytic cell containing silver nitrate (Ag+
NO3−). The cell is powered by a 12.0-V
battery and has a resistance of 1.40 Ω. If the density of silver is
1.05 104 kg/m3, over what time
interval does a 0.133-mm layer of silver build up on the
teapot?
h

What is the difference in the surface area formulas between a prism
and a pyramid?

The surface area of a ball is measured to be A = 35 cm2.
a. (a) Write an equation for the radius of the ball, r, treating
it as a sphere, in terms of its surface area.
(b) The mass is measured to be M = 170 g. Calculate its density
ρ in g/cm3. Part
(c) What is the density ρkg/m3 in kg/m3?

The surface area of a ball is measured to be A = 45
cm2.
A) Write an equation for the radius of the ball, r,
treating it as a sphere, in terms of its surface area. ( I tried
square root of A/4pi, didn't work)
B) The mass is measured to be M = 125 g.
Calculate its density ρ in g/cm3.
C)What is the density ρkg/m3 in
kg/m3?

A teapot with a surface area of 450 cm2 is to be plated with
silver. It is attached to the negative electrode of an electrolytic
cell containing silver nitrate (Ag+ NO3−). The cell is powered by a
12.0-V battery and has a resistance of 1.40 Ω. If the density of
silver is 1.05 104 kg/m3, over what time interval does a 0.133-mm
layer of silver build up on the teapot?

A box with a square base and closed top must have a total
surface area of 600 cm2. Find the
dimensions of the box that maximize its volume (clearly identify
the decision variables, the constraints, and the objective
function. You have to prove that the dimensions you get in the end
are truly the dimensions for the maximum volume, and not the
minimum or anything else)

An air-filled capacitor consists of two parallel plates, each
with an area of 7.60 cm2, separated by a distance of
1.70 mm. A 15.0-V potential difference is applied to these
plates.
(a) Calculate the electric field between the plates.
kV/m
(b) Calculate the surface charge density.
nC/m2
(c) Calculate the capacitance.
pF
(d) Calculate the charge on each plate.
pC

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