Cross Sections
Volume
Surface Area
3D Geometry Mixed Bag
100
What cross section is formed when a cone is sliced by a plane parallel to its base?
Circle
100
Find the volume.
660 yd^3
100
What is the formula for the surface area of a cylinder?
2*3.14*r^2 + 2*3.14*r*h
100
How many cubic feet of sand will be needed to completely fill a box (rectangular prism) that measures 10 feet long, 3 feet wide, and 5 feet tall?
150 ft^3
200
What cross section is formed when a cylinder is cut by a plane perpendicular to the base?
Rectangle
200
Find the volume of a cube with a side of 5 inches.
125 in^3
200
How many square feet of wrapping paper are needed to cover a box (rectangular prism) that measures 10 feet long, 3 feet wide, and 4 feet high?
164 square feet
200
Which of the following is NOT a possible cross section obtained from a cube?
A) Triangle B) Rectangle C) Trapezoid D) Circle
D) Circle
300
What cross section is formed by slicing a rectangular pyramid perpendicular to it's base?
Triangle
300
Find the volume
120 in^3
300
What is the surface area of the cylinder?
351.68 in^2
300
Find the surface area
865 mm2
400
What cross section is formed when a triangular prism is sliced parallel to it's base?
Triangle
400
What is the volume of the cylinder?
1695.6cm^3
400
Find surface area. 
180 in2
400
What is the resulting cross section when the following figure is sliced horizontally?
Pentagon
500
The cross section formed when a figure is sliced by a plane parallel to it's base is a rectangle. The cross section formed when the figure is sliced by a plane perpendicular to it's base is a triangle.
What is the shape?
Rectangular Pyramid
- base must be a rectangle
- must be a pyramid (perpendicular cross section is triangle)
500
What is the volume?
224.78 units^3
Cylinder = 3^2*3.14*3 = 84.78
Rect prism= 7*5*4 = 140
500
Calculate the Surface Area
Total surface area =
444 m^2
Triangular prism (DONT INCLUDE bottom rectangle): 6*16*1/2*2 +10*5*2 = 196m^2
rectangular prism (Dont include TOP rectangle): 5*4*2 + 16*5 + 16*4*2 = 248m^2
500
Find the length of a rectangular prism with a height of 22 inches, a width of 10 inches, and a volume of 2860 in3.
13 inches