Solving Mathematical and Real-World Problems Involving Surface Area of Pyramids

What is the surface area of this 3D shape?

• 262.5 sq. ft.

• 472.5 sq. ft.

• 325 sq. ft.

• 175 sq. ft.

Determine the surface area

• 174.15 km²

• 150.8 km²

• 229.17 km²

• 244.35 km²

What is the lateral area of this shape?

• 150 ft²

• 360 ft²

• 225 ft²

• 250 ft²

What is the surface area of the Triangular Pyramid?

• 147.2 m²

• 36.8 m²

• 73.6 m²

• 110.4 m²

The total surface area of the square pyramid is​​ (a)   ​ square units and the lateral surface area is ​ (b)   ​ square units.

• 176

• 112

• 162

• 217

Haley is creating a model of the Great Pyramid for a project. The base is square with a side length of 4.7 inches and is 6 inches high. The slant height of each triangular face is 7.1 inches.

PART A: Label the correct dimensions from her model's net.

PART B: Drag the total surface area to the bottom right where the arrow is pointing.

f

g

d

39.245 square in.

4.7 in.

78.49 square in.

134.89 square in.

7.1 in.

88.83 square in.

6 in.

Tags

MA.6.GR.2.4

The lateral surface area of the pyramid is ​ (a)   square centimeters (All sides except the base).

The total surface area of the pyramid is ​ (b)   square centimeters.​

• 160

• 224

• 320

• 384

The total surface area of the rectangular pyramid is​​ ​ (a)   square meters and the lateral surface area is ​​ (b)   square meters.

• 228

• 168

• 286

• 262

The total surface area of the square pyramid is​​ (a)   ​ square centimeters and the lateral surface area is ​​ (b)   square centimeters.

• 180

• 144

• 260

• 217

Haley is creating a model of the Great Pyramid for a project. The base is square with a side length of 5.5 inches and is 8.4 inches high. The slant height of each triangular face is 8.9 inches. PART A: Label the correct dimensions from her model's net. PART B: Drag the total surface area to the bottom right where the arrow is pointing.

f

a

g

128.15 square in.

8.4 in.

30.25 square in.

43.3 square in.

5.5 in.

215.05 square in.

8.9 in.

Tags

MA.6.GR.2.4