Pyramids Application

A tetrahedron is a pyramid with a triangular base. Find the volume of the tetrahedron.

• 66 cubic inches

• 22 cubic inches

• 33 cubic inches

• 44 cubic inches

Find the volume of the pyramid.

• 945 dm³

• 315 dm³

• 21 dm³

• 2,835 dm³

What is the volume of a pyramid with a base area of 84 square inches and a height of 22 inches?

• 1,848 cubic inches

• 616 cubic inches

• 51,744 cubic inches

• 924 cubic inches

What is the height of a rectangular pyramid with a base height of 4 inches, a base edge of 9 inches and a volume of 48 cubic inches? Type in answer in this format: 7 inches

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

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

78.49 square in.

88.83 square in.

134.89 square in.

7.1 in.

4.7 in.

39.245 square in.

6 in.

Tags

MA.6.GR.2.4

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.

30.25 square in.

8.4 in.

5.5 in.

43.3 square in.

8.9 in.

215.05 square in.

Tags

MA.6.GR.2.4

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

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