Wednesday, February 2, 2011

Volume of a Right Rectangular Prism

KEY MATH LEARNING

1. The formula for the volume of a rectangular prism is the area of its base multiplied by its height. V = (area of base) x h OR v = ah

2. The shape of the prism does not effect its volume calculation.

VOCABULARY

volume - the amount of space occupied by an object

capacity - the amount a container can hold.

HOMEWORK

Q: What would the area of the base represent if you filled the box with 1cm cubes?
A: It would represent the area of the bottom layer of the box.

Q: If you filled your box with 1cm cubes, what would the height represent?
A: The number of layers of 1cm cubes the box can hold.

Q: What are the variables for the volumes of a box?
A: The dimensions.

Q: Will the volume of the box be different if it sits on a different face?
A: The volume will NOT change because its size and dimensions will remain the same.

Tuesday, January 18, 2011

Math Makes Sense 8 - Chapter 4.1: Exploring Nets (Vocabulary)

face any of the polygons that make up and object's boundaries.


prism - an object that has two congruent and parallel faces (bases) and other faces that are parallelograms.


edge - where, on the shape, two or three sides meet. 


perpendicular - at a 90 degree angle.


polygon - a closed shape consisting of line segments.


vertex - the point where two sides on a shape meet, or the point where three or more edges meet.

right prism  A three-dimensional shape with two identical parallel bases, with all other faces as rectangles.


regular polygon - a polygon having all sides and angles equal.


congruent - shapes that match exactly but don't always have the same orientation.

Thursday, January 13, 2011

Math Makes Sense 8 - Chapter 4: Measuring Prisms and Cylinders VOCABULARY

net - a pattern that can be folded to make an object.

polygon - a closed shape that consists of line segments (ex. triangles and quadrilaterals are polygons).

polyhedron - an object with faces that are polygons.

quadrilateral - a four-sided polygon.

regular prism - a prism with regular polygons as bases (ex. a cube is a regular prism).

base - the side of the polygon or the face of an object from which the height is measured.

regular pyramid - a pyramid with a regular polygon as its base (ex. a cube).

tetrahedron - an object with four equal triangular faces; a regular triangular pyramid.


regular decagon - A plane figure with ten straight sides and angles.


surface area - the total area of the surface of an object.


volume - the amount of space occupied by any object.


capacity - the amount a container can hold.