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Math
Geometry
Math, Volume and Surface Area
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Terms in this set (16)
Volume of a Rectangular Prism(dimensions are l(length), w(width), and h(height))
lwh
Volume of a Sphere(dimensions are r(radius))
(4/3)(pi)(r^3)
Volume of a Cube(dimensions are s(side))
s^3
Volume of a Prism(dimensions are B(base), P(perimeter of Base), and h(height)
Bh
Volume of a Cylinder(dimensions are r(radius) and h(height))
(pi)(r^2)(h)
Volume of a Cone(dimensions are r(radius), h(height), and l(slant height))
(1/3)(pi)(r^2)(h)
Volume of a Pyramid(dimensions are B(base), P(perimeter of the Base), h(height), and l(slant height))
(1/3)(B)(h)
Surface Area of a Rectangular Prism(dimensions are l(length), w(width), and h(height))
2(lw + lh + wh)
Surface Area of a Sphere(dimensions are r(radius))
4(pi)(r^2)
Surface Area of a Cube(dimensions are s(side))
6(s^2)
Surface Area of a Prism(dimensions are B(base), P(perimeter of Base), and h(height)
2B + Ph
Surface Area of a Cylinder(dimensions are r(radius) and h(height))
2(pi)(r^2) + 2(pi)(r)(h)
Surface Area of a Cone(dimensions are r(radius), h(height), and l(slant height))
(pi)(r^2) + (pi)(r)(l)
Surface Area of a Pyramid(dimensions are B(base), P(perimeter of the Base), h(height), and l(slant height))
B + (1/2)(P)(l) (for regular pyramids only)
Volume of a Hemisphere(dimensions are r(radius))
(2/3)(pi)(r^2)
Surface Area of a Hemisphere(dimensions are r(radius))
3(pi)(r^2)
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Verified questions
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Write an equation in point-slope form of the line having the given slope that contains the given point. m: -2, (-6, -7)
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Points A and B lie in a plane and have coordinates (3, 0) and (4,2) respectively. C is the midpoint of [AB]. (a) Express $$ \vec { A B } $$ and $$ \vec{ A C } $$ as column vectors. (b) Point D is such that $$ \vec{ A D } = \left( \begin{array} { r } { 7 } \\ { - 2 } \end{array} \right) $$ . Find the coordinates of D.
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The vertices of ΔXYZ are X(4, 5), Y(4, 13) and Z(8, 9). Find the equation of the circle circumscribed about ΔXYZ. Justify your answer.
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The temperature in San Antonio, Texas is currently $77^{\circ} \mathrm{F}$ and is increasing by $3^{\circ}$ per hour. The current temperature in Bombay, India is $92^{\circ} \mathrm{F}$ and the temperature is dropping by $2^{\circ}$ per hour. When will it be as hot in San Antonio as it is in Bombay? What will the temperature be?