7th 8-8 Solve Problems Involving Surface Area

Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by​ grass?

• 143.5 ft²

• 159.5 ft²

• 167.5 ft²

• 172.5 ft²

What is the total area of the shaded portion of the​ figure?

• 260 cm²

• 270 cm²

• 280 cm²

• 290 cm²

What is the total area of the shaded portion of the​ figure?

• 285.5 ft²

• 295.5 ft²

• 305.5 ft²

• 315.5 ft²

The block of wood shown is a triangular prism. What is its surface​ area?

• 103.5 in²

• 108.75 in²

• 109.5 in²

• 100.25 in²

The bottom part of this block is a rectangular prism. The top part is a rectangular pyramid. Kiran wants to cover the block entirely with paper. How much paper does she​ need?

• 1560 cm²

• 1660 cm²

• 1760 cm²

• 1860 cm²

Find the surface area of the regular hexagonal prism.

• 1627.2 in²

• 1637.2 in²

• 1647.2 in²

• 1657.2 in²

The height of the rectangular prism measures 64 cm. If the height is increased by 1.5​ cm, by how much will the surface area of the box​ increase?

• 231 cm²

• 241 cm²

• 251 cm²

• 261 cm²

You want to put shingles on the outside walls and solar panel the roof of the barn shown. It costs ​$2.50 for each square meter of shingles. Solar panels cost ​$4.00 per square meter. How much will this project​ cost?

• $925

• $950

• $975

• $1000

Find the surface area of the regular hexagonal prism.

• 1218.2 in²

• 1222.2 in²

• 1236.2 in²

• 1242.2 in²

The bottom part of this block is a rectangular prism. The top part is a rectangular pyramid. Kiran wants to cover the block entirely with paper. How much paper does she​ need?

• 1970 cm²

• 1980 cm²

• 1990 cm²

• 2000 cm²