Composite Area and Surface Area

To Find the Area of Composite Shapes, like the one shown, you simply...

• Divide the shape into simple known shapes, find the area of each shape, and add the areas together.

• Create a new shape and find the area of that shape.

• Divide the shape into simple known shapes, find the area of each shape, and multiply the areas together.

• Find the area of each shape and subtract the areas of the smaller shapes from the largest shape.

Find the total area of the given shape.

• 9.75 ft²

• 8.625 ft²

• 7.50 ft²

• 9.375 ft²

Which of the following is closest to the area of the shape given?

• 52 cm²

• 44 cm²

• 26 cm²

• 38 cm²

The net of the square pyramid and its dimensions are shown in the diagram. What is the total surface area of this pyramid?

• 336 ft²

• 960 ft²

• 204 ft²

• 192 ft²

A utility line runs underground through Shayne's backyard. Shayne is not allowed to dig within 3 feet of either side of the utility line. The diagram shows the dimensions of his backyard and where he is not allowed to dig. What is the area, in square feet, of the part of the yard where Shayne can dig?

• 272 ft²

• 374 ft²

• 102 ft²

• 59 ft²

Surface area is...

• The area of all sides of a three-dimensional shape added together.

• The amount of space inside a 3-dimensional shape.

• The area of a two-dimensional shape.

• The area of just the top and bottom of a three-dimensional shape.

What is the total surface area of the rectangular prism given?

• 143.25 in²

• 241.5 in²

• 258.75 in²

• 286.5 in²

The net of the square pyramid and its dimensions are shown in the diagram. What is the lateral surface area of this pyramid?

• 336 ft²

• 960 ft²

• 204 ft²

• 192 ft²

The figure shows a circle inside a triangle.  Which equation could be used to find the area of the shaded region?

• = ½bh - 2πr

• = πr² - ½bh

• = ½bh - πd

• = ½bh - πr²

Find the total area.

• 126 ft²

• 39 ft²

• 156 ft²

• 80 ft²