3D Shapes and Nets, Area and Volume too!
What shapes does a rectangular pyramid have?
1 rectangle, 4 triangles (1 base, 4 sides)
Rectangular Pyramid
1 rectangular base, 2 sets of equal triangles
Square Pyramid
1 square base, 4 equal faces
What is the volume of a triangular prism?
1/2 length x width x height
What shapes does a triangular prism have?
2 triangles, 3 rectangles (2 bases, 3 sides)
Triangular prism
2 triangular faces, 3 rectangular faces
2D
2D stands for "two dimensional". It means a shape or figure has length AND width. It means a shape or figure is flat.
3D
3D stands for "three dimensional". It means a shape or object has length AND width AND height. It means a shape or object takes up space and is not flat.
Triangular pyramid
4 triangular faces (may or may not be equal)
A cube has how many sides?
6 (6 squares)
What shapes does a rectangular prism have?
6 rectangles (2 bases, 4 sides)
Area of a Rectangle
A = LW
Area of a Square
A = LW
Volume Of A Regular(Rectangular) Prism
V= BH
A cube is what type of 3d shape?
rectangular prism
slant height
the height of a lateral side in a three-dimensional figure
vertex
A point where three or more edges meet. The common endpoint of an angle
triangular prism
A prism whose bases are triangles. a solid figure with two triangular bases and three rectangular faces
prism
A solid figure that has two congruent, parallel polygons as its bases. Its sides are parallelograms
rectangular prism
A solid shape that has: 6 faces (4 rectangles & 2 squares), 8 vertices (corners), and 12 equal edges.
pyramid
A solid shape with a polygon as a base and triangular faces that come to a point (vertex or apex)
Area Of A Trapezoid
A= 1/2(b1+b2)h
Area Of A Triangle
A= 1/2BH
Area Of A Parallelogram
A= bh
Face
Faces are the flat surfaces that make up the "sides" of a 3D object.
Surface Area of a Rectangular Prism
Find the area of all six sides (front/back, top/bottom, right side/left side) and add them up. OR: Rectangular Prisms have six sides. The parallel sides will have the same area. You could find the area of one of the "pairs" and then double it. You will do this 3 times and then add up all of your areas.
Surface Area of a Cube
Find the area of one side (square) and multiply that area 6 times! (6 sides to a cube).
lateral face
In a prism, a face that is not a base of the figure.
What shapes does a triangular pyramid have?
It has 4 triangles (1 base, 3 sides)
Net
Nets are what 3D objects look like when you unfold and flatten them.
Volume
The amount of space inside a 3D object. Volume is measured in cubic units. Cubic units are sometimes shown as "unit³".
What areas would you add together to find the surface area of a rectangular prism?
The top/bottom (same area), the left/right (same area), and front/back (same area). So there are three sets of two = six rectangle to add together.
Surface Area
Total Area of the surface for three-dimensional objects.
cubic units
Used to measure volume. Tells the number of cubes of a given size it will take to fill a 3-D figure.
Volume of a Rectangular Prism
V= lw*h
Volume of a Right(Triangular) Prism
V=BH
