Solving Mathematical and Real-World Problems Involving Area of Composite Solids

What is the surface area of this figure

• 30.2 yd²

• 50.2 yd²

• 47.2 yd²

• 54.5 yd²

Mr. Bailey bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?

• 13,600 ft²

• 18,400 ft²

• 16,000 ft²

• 2,400 ft²

A triangle with a square removed from its interior is shown. What is the area of the pink shaded portion of the triangle?

• 9 units²

• 15 units²

• 39 units²

• 48 units²

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

• 8160 cm²

• 2400 cm²

• 3456 cm²

• 2304 cm²

FInd the Surface area of the shape below?

• 258 m²

• 268 m²

• 248 m²

• 278 m²

Points A, B, C, and D are the vertices of a square. Points E and F are the centers of two congruent semicircles that are tangent to each other at point G. Which value is closest to the area of the shaded regions?

• 7.7 units²

• 4.3 units²

• 17.2 units²

• 64.3 units²

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

What is the surface area of this composite figure?

• 188.5 cm ²

• 141.4 cm ²

• 179.1 cm ²

• 150.8 cm ²

This figure was created using a triangle and a semicircle, as shown below. Using the dimensions of the triangle and semicircle. Which measurement is closest to the area of the figure in square centimeters?

• 77.52 cm²

• 49.26 cm²

• 58.76 cm²

• 35.13 cm²

What is the surface area of the composite solid?

• 216 m²

• 248 m²

• 256 m²

• 224 m²