# Coverings & Surroundings

## Unit Description

The Problems in this Unit are structured in order to help students understand what it means to measure area, perimeter, surface area, and volume. They develop strategies for measuring perimeter and area of both rectangular and nonrectangular shapes. Students use their understanding of area of rectangles to develop strategies for finding area of triangles, parallelograms, and other polygons. They extend this understanding to three-dimensional objects. Students find the areas of individual faces of objects to find total surface area, and they incorporate height into their calculations to find volume of rectangular prisms.

## What is perimeter?

The perimeter is the distance around a two-dimensional shape. It can be found by adding all of the sides of the shape in order to calculate the total distance. Perimeter is measured in units. Perimeter = Add all sides

## What is area?

Area is the amount of space inside a two-dimensional shape. The formula for area will change based on the shape. Area is measured is square units.

Area of Square & Rectangle = Length x Width

Area of Triangle = Base x Height / 2

Area of Parallelogram = Base x Height

## What is surface area?

Surface area is the total area of all surfaces or faces of a three-dimensional shape. It can be found by calculating the area of each face, or two-dimensional shape, and then adding all of the areas together. Surface area is measured in square units.

Surface Area of Pyramid = 2(LxW) + 2(LxW) + 2(LxW)

Surface Area of Rectangular Prism = 4(BxH/2) + (LxW)

## What is volume?

Volume is the space inside a three-dimensional shape. The volume of a rectangular prism can be found by multiplying the length, the width, and the height. Volume is measure in cubic units.

Volume of Rectangular Prism = Length x Width x Height