Prisms and Cylinders
What is the formula for the volume of a prism?
Bh, or base area times height
What is the circumference of a circle with diameter 40 inches?
125.6 inches
What is the formula for the surface area of a pyramid?
Base area plus 1/2 times base perimeter times slant height
Name two things that must be true in order for a shape to be a polygon.
It must be a closed figured and have no curved sides. Also, it's edges may not cross.
The angles of a triangle add up to what?
180 degrees
Find the surface area of a rectangular prism with a square base with each side 5 inches long and a height of 6 inches.
170 square inches
What is the area of a circle with radius 15 feet?
706.5 square feet
How is the volume of a cone related to the volume of a cylinder?
It is one third as much
Define convex.
A convex polygon is one in which any two points within it can be connected by a segment that lies completely within the polygon.
A triangle has angles measuring 72 degrees, x degrees, and 5x degrees. Find the value of x and classify the triangle based by its angle measures.
x = 18 degrees, it's a right triangle because 5x equals 5 times 18, which is 90 degrees
Find the surface area of a cylinder with base radius of 13 yards and height 15 yards.
2285.92 square yards
What is the volume of a sphere with radius 10 m?
4186.67 cubic meters
Find the surface area of a cone with radius 5 inches and slant height 7 inches.
188.4 square inches
Define concave.
What are the classifications for a triangle based on angle measure?
What are the classifications based on side length?
acute, right, obtuse
scalene, isosceles, equilateral
Describe how to find the volume of a shape that is a rectangular prism with a dome on top.
Find the volume of the rectangular prism (Base area times height) and add the volume of the dome (half circle, so half of 4/3 pi times radius cubed.)
What is the surface area of a sphere with radius 10 m?
1256 square meters
Find the surface area of a pyramid with square base with sides 12 meters and slant height 8 meters.
336 square meters
Name three types of polygons.
Answers include: triangle, square, rectangle, quadrilateral, rhombus, pentagon, hexagon, heptagon, octagon, n-gon...
What is the area of a trapezoid with bases measuring 6 inches and 12 inches and height of 10 inches?
90 square inches
What is does the term "lateral area" mean?
The area around the sides of a 3D shape (does not include the base or bases).
3.99 feet
What is the volume of a prism with rectangular base measuring 9 meters by 6 meters and height 12 meters that has a rectangular pyramid sitting on top if it with a height of 11 meters? (Note, the base of the rectangular pyramid matches that of the rectangular prism)
846 cubic meters
What is the formula for finding the area of a parallelogram?
base times height
What is the height of a parallelogram with area 600 square meters and base length 30 meters?
20 meters