Surface Area and Composite Figures

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 company sells cardboard scratching blocks for cats. The block is shaped like a right rectangular prism with a rectangular hole cut through its center. A cat can scratch on any face of the block, including the bottom and inside faces. What is the total area of the block's scratching surface?

• 1440 in²

• 1248 in²

• 604 in²

• 1056 in²

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

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

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

Calculate the composite surface area of the figure.

• 16579.07 ft²

• 7022.35 ft²

• 490.09 ft²

• 8002.52 ft²

Calculate the composite surface area of the figure.

• 414.69 in²

• 226.195 in²

• 188.496 in²

• 640.885 in²

Calculate the composite surface area of the square pyramid on top of the square prism.

• 8160 cm²

• 2400 cm²

• 3456 cm²

• 2304 cm²

Calculate the composite surface area of the figure.

• 4605.38 cm²

• 4541.76 cm²

• 593.76 cm²

• 4919.76 cm²