Solve Area, Surface Area, and Volume Problems

In this topic, students will:

• use a formula to find the areas of parallelograms and rhombuses

• find the base or height of a parallelogram or rhombus when the area and the height or base are known

• find the areas of triangles including right triangles

• find the corresponding base or heigh of a triangle

• find the ares of trapezoids

• find the ares of kites

• find the areas of polygons by composing and decomposing shapes, including polygons on the coordinate plane

• classify solid objects

• identify solid figures from nets

• draw nets of solid figures

• find the surface area of rectangluar prisms, including cubes

• find the surface area of triangular prisms

• find the surface areas of square and triangular pyramids

• use cubes and a formula to find the volume of a rectangular prism or a cube with fractional edge lengths

Vocabulary:

Kite - a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other

Base - the surface, a solid object stands on or rests upon

Edge - the line segment where two faces intersect

Face - the flat surface of a solid shape

Net - a plane figure pattern that, when folded, makes a solid

Polyhedron - a three-dimensional solid figure made of flat polygon-shaped surfaces called faces. 

Vertex - the point where several edges meet