Shapes
The shape that has two pairs of opposing parallel sides
Parallelogram
The name for a rectangle with height
rectangular prism
The formula for surface area of a cube
6b or 6 times the area of one face
The formula for volume of a cylinder
pi*r2h
Formula for the perimeter of a circle
2*pi*r
The shape that has two pairs of adjacent congruent sides
Kite
How many faces does a cylinder have
2
If a rectangular prism has a base of 48 meters and a lateral face area of 64 meters, what is its surface area?
352 m2
If a sphere has a radius of 4, what is its volume?
268.083 units3 or 256/3 * pi units3
The name for the line that is double the radius of a circle.
diameter
The name for a shape with nine sides
Nonagon
How many edges does a sphere have?
0
How many dimensions compose surface area (or are used to calculate)?
2
How many dimensions compose volume (or are used to calculate)?
3
A circle has a radius of 6.4, what is the area of it?
128.614 or 40.96*pi
The name for a shape with 10 sides
decagon
The name for a prism with 10 faces
decahedron
A prism consisting of a equilateral triangle with a height of 1.7 m and a base of 2 m and a lateral face (rectangle) with a length of 3 m, what is its surface area?
21.4 m2
A cone with a radius of 3 in and a height of 8 in, what is its volume?
75.398 or 24*pi
The name for a line that connects two different points on a circle and does NOT go through the center.
Chord
Two baking pans are in the shape of rectangular prisms.
-Pan A is 8 in by 8 in by 1 ½ in
-Pan B is 9 in by 9 in by 2 ¾ in
A batter for brownies will completely fill Pan A. If the same amount of batter is put into Pan B, how tall would the batter be (in the pan)?
1.185 or 96/81 in
The TWO names which refer to the point at the tip of a cone
Apex and vertex
The lateral area of a cylinder is 94.2 cm2. The height is 6 cm. What is the radius?
r = 2.5 cm
A swimming pool is 8 m long, 6 m wide and 1.5 m deep. The water-resistant paint needed for the pool costs 6 dollars per square meter.
1 How much will it cost to paint the interior surfaces of the pool?
2 How many litres of water will be needed to fill it?
$540 && 72,000 liters
The number pi is calculated with what two components of a circle, and how?
Circumference and diameter, the ratio of a circle's circumference to its diameter.