6. Geometry

6.01 Area of triangles

6.02 Area of special quadrilaterals

6.03 Area of composite shapes

6.04 Nets of solids

Investigation: Surface area using nets

Investigation: Develop the formula for volume of a rectangular prism

6.05 Volume of rectangular prisms

United States of America NC

Grade 6

6.03 Area of composite shapes

Interactive practice questions

Think about the shape shown below.

Two rectangles labeled $A$A and $B$B are depicted with their dimensions marked. Rectangle $A$A is vertically oriented with a height measuring $17$ $cm$ and a width measurement of $4$ $cm$ . Rectangle $B$B has a given width measuring $6$ $cm$ , while the height is not specified. Rectangle $B$B is positioned at a distance of $3$ $cm$ from the bottom of rectangle A and the top of rectangle $B$B is $6$ $cm$ away from the top of rectangle $A$A.

a

Find the area of rectangle $B$B.

b

Now, calculate the total area of the given shape.

Easy

2min

Think about the shape shown below.

Easy

1min

Think about the shape shown below.

Easy

1min

Find the area of the given shape.

Easy

1min

Outcomes

NC.6.G.1

Create geometric models to solve real-world and mathematical problems to: • Find the area of triangles by composing into rectangles and decomposing into right triangles. • Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles.

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