Volume
A building full of people has dimensions 40 yards by 50 yards by 60 yards. What is the volume of the building?
120,000 yards^3
When we have a volume of revolution problem do we start with a 2d image or a 3d image?
What is a 2d image.
A cross section is a two dimensional image or three dimensional image?
What is a two dimensional image.
What is the formula for density?
Density = Mass/Volume
When looking to find Surface Area, do we create units, units squared, or units cubed?
What is units squared.
Mr. Conrad in all of his infinite wisdom decides to travel to Antarctica for winter vacation. As expected it's really cold. He contemplates putting up a tent, but decides to create an ice pyramid. The pyramid's face has a height of 5m and it has a square base with length of 3m. What is the equation he would use to find the volume (You must give the values for the dimensions).
What is (3*3*4/3)?
When and why do we use square, cubed, or just the measurements when writing measurements?
What is 1D, 2D, and 3D correspond to units, units square, and units cubed.
If a plane cuts through a cone parallel to the base, what cross section is formed?
What is a circle.
The trashketball in Mr. Conrads room has a volume of 100 cubic cm and a mass of 20g. What is the density?
The density is 20/100 or .2g/cubic cm.
What is the formula for area of a triangle?
Conrad gaming a new enterprise developed in collaboration with Page HS students and teachers in the Math department has decided to launch their first product. The product is an energy drink that appears to be of cylinder shape. If the radius of the can is 3 inches and the height is 8 inches, what is the volume without multiplying out pi?
What is 72pi inches cubed.
If a triangle is rotated around the x-axis what shape is 3d shape is formed?
If a plane cuts through a cone perpendicular to the base, what cross section is formed?
What is a triangle or hyperbola.
The eraser at the front of the room has a width of 2 inches length of 4 inches and a height of 1 inch. If the mass is 24 g what is the density?
What does the base of a 3D object mean?
What is the side that the 3D object is currently lying on.
Darth Vader has decided to construct a new death star. The star has a diameter of 1000 megameters What is the volume?
What is 166,666,667pi?
The first step in solving a volume of revolution problem is to do what to the two dimensional image?
What is to reflect is across the corresponding axis.
If a plane cuts through a cone at a diagonal, what cross section is formed?
What is an oval.
If a 3D object is placed in water of 5mL and the water rises to 8ML, given the Mass is 33g what is the density of the 3D object?
What is 11 g/mL.
What is the formula for volume of a cube?
Mr. McCain brings an ice cream cone filled with half a scope of ice cream to class. The radius of the cone is 2 inches and the height is 6 inches. What is the volume of the combined objects?
What is 41.87 cubic inches.
If a circle is touching the x-axis and rotates around the x-axis, what 3d object is created?
What is a sphere?
If a plane cuts through a rectangular prism it is impossible to create a triangle. True or False?
What is false.
The density of a cube like shaped AP stats notecard block on Mr. Conrad's desk is 2 g/cubic cm with a mass of 643. What is one side of the object?
What is 7 cm?
A Frustum has sides that are what 2D image?
What are trapezoids