Area Composite Figures and Surface Area

Find the area.

• 60 in

• 60 in²

• 50 in

• 50 in² 

What is the area of the shaded region?

• 14 m²

• 120 m²

• 106 m²

• 134 m²

Surface area:

• 96 m²

• 36 m²

• 228 m²

• 284 m²

Find the area of the shape

• 16.56 sq in

• 7.14 sq in

• 10.28 sq in

All sides of the three-dimensional figure shown meet at right angles. What is the surface area of the three-dimensional figure?

• 90 in²

• 356 in²

• 178 in²

• 316 in²

The three-dimensional figure shown is composed of right prisms. What is the total surface area of the figure?

• 510 in²

• 642 in²

• 606 in²

• 678 in²

A garden shed is shaped like a right prism. The shed has one 7 ft-by-6 ft rectangular door and two 3 ft-by-1 1/2 ft rectangular windows. The outer walls will be painted, but not the roof, door, or windows. What is the total surface area to be painted?

• 95 ft²

• 190 ft²

• 446 ft²

• 395 ft²

Indire makes a wooden box without a lid. All the faces of the box meet at right angles. Indira plans to paint all surfaces of the box, including the inside and outside. The interior of the box has length 13 in., width 8 in., and depth 7 in. What is the total surface area to be painted? Indira can cover up to 1350 in² with 1/2 cup of paint. Will she need more than 1/2 cup of paint to cover the box?

• Yes, she will need more paint.

• No, she will NOT need more paint.

• 994 in²

• 1098 in²

Ignacio makes a display shelf from 4 wooden boards. All angles formed by the boards are right angles. Ignacio plans to stain all faces of the shelf, except the back face, which will be against the wall. What is the total area Ignacio will stain?

• 780 in²

• 702 in²

• 390 in²

• 554 in²

All faces of a bench except the two faces that rest on the ground will be coated with a water-resistant paint. The bench is a right prism. What is the total area to be coated with the paint?

• 3731 in²

• 1160 in²

• 4487 in²

• 5243 in²