22 7.G.B.6 Math.7.G.6 7.G.B.6 7.GSR.5.6 7.G.B.6 7.G.6 7.G.6 7.G.B.5 CC.2.3.7.A.1 M07.C-G.2.2.2 7.GM.3

Area, Surface Area, & Volume 7th Grade

Alabama Course of Study Standards: 22
Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms.
Arizona Academic Standards: 7.G.B.6
Solve mathematical problems and problems in a real-world context involving area of two-dimensional objects composed of triangles, quadrilaterals, and other polygons. Solve mathematical problems and problems in real-world context involving volume and surface area of three-dimensional objects composed of cubes and right prisms.
Common Core State Standards: Math.7.G.6 or 7.G.B.6 Tennessee Academic Standards: 7.G.B.5
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Georgia Standards of Excellence (GSE): 7.GSR.5.6
Solve realistic problems involving surface area of right prisms and cylinders.
Louisiana Academic Standards: 7.G.B.6
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (Pyramids limited to surface area only.)
North Carolina - Standard Course of Study: 7.G.6
Solve real-world and mathematical problems involving: Area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons. Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.
New York State Next Generation Learning Standards: 7.G.6
Solve real-world and mathematical problems involving area of two-dimensional objects composed of triangles and trapezoids. Note:The inclusive definition of a trapezoid will be utilized, which defines a trapezoid as "A quadrilateral with at least one pair of parallel sides." (This definition includes parallelograms and rectangles.) Solve surface area problems involving right prisms and right pyramids composed of triangles and trapezoids. Note: Right prisms include cubes. Find the volume of right triangular prisms, and solve volume problems involving three-dimensional objects composed of right rectangular prisms.
Pennsylvania Core Standards: CC.2.3.7.A.1
Solve real-world and mathematical problems involving angle measure, area, surface area, circumference, and volume.
Pennsylvania Core Standards: M07.C-G.2.2.2
Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Arkansas Academic Standards: 7.GM.3
Apply the formulas for the volume and surface area of right rectangular prisms, rectangular pyramids, triangular prisms, and triangular pyramids to solve real-world and mathematical problems.

The area of a figure can be found by decomposing
it into smaller, non-overlapping figures.

The area of the large figure is equal to the
sum of the areas of the smaller figures.

Next, find the area of one of the triangles and the rectangle.

Area of Rectangle	=	length × width
	=	13 cm × 12 cm
	=	156 sq cm

Area of Triangle	=	$\frac{1}{2}$ × base × height
	=	$\frac{1}{2}$ × 5 cm × 12 cm
	=	30 sq cm

Area, Surface Area, & Volume

Alabama Course of Study Standards: 22

Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms.

Arizona Academic Standards: 7.G.B.6

Common Core State Standards: Math.7.G.6 or 7.G.B.6

Tennessee Academic Standards: 7.G.B.5

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Georgia Standards of Excellence (GSE): 7.GSR.5.6

Solve realistic problems involving surface area of right prisms and cylinders.

Louisiana Academic Standards: 7.G.B.6

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (Pyramids limited to surface area only.)

North Carolina - Standard Course of Study: 7.G.6

Solve real-world and mathematical problems involving:
Area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.

New York State Next Generation Learning Standards: 7.G.6

Pennsylvania Core Standards: CC.2.3.7.A.1

Solve real-world and mathematical problems involving angle measure, area, surface area, circumference, and volume.

Pennsylvania Core Standards: M07.C-G.2.2.2

Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Arkansas Academic Standards: 7.GM.3

Apply the formulas for the volume and surface area of right rectangular prisms, rectangular pyramids, triangular prisms, and triangular pyramids to solve real-world and mathematical problems.

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