Geometry Volume Area Surface Area

The triangular prism shown below represents a display case.  Which of the following is the best estimate of the volume of the display case in cubic inches?

• 144 cubic in.

• 576 cubic in.

• 288 cubic in.

• 72 cubic in.

The diagram below models the length from the center of a wind turbine to the tip of one of its blades. Which of these is closest to the total area covered by the blade when the turbine makes 1 revolution?

• 3,215 m²

• 100 m²

• 1,024 m²

• 201 m²

Use the ruler provided to measure the dimensions of the figure below to the nearest centimeter.  Which of the following is closest to the area of the shaded rectangles of the figure?

• 25 cm²

• 49 cm²

• 16 cm²

• 24 cm ²

Evelyn cut a wedge of cheese into the shape of a triangular prism like the one shown below. The shaded part represents one of the bases of the prism. A formula for the volume of a triangular prism is V = Bh. Which equation can be used to find B, the area of the shaded base in square centimeters?

• B = 5(6)

• B = 5(6)/2

• B = 4(5)

• B = 4(5)/2

What is the volume, in cubic centimeters, of the cube? There are 360 of these cubes that you see in the picture. All of these cubes were placed into a rectangular prism, with no gaps between them. Determine the volume, in cubic cm, of the box? What are the possible dimensions of the box that the cubes were put in?

• 64 cubic cm

• 23,040 cubic cm

• 64 cm, 60 cm, 6 cm

• 48 cubic cm

• 16 cubic cm

• 17,280 cubic cm

• 5,760 cubic cm

• 32 cm, 30 cm, 3 cm

• 40 cm, 40 cm, 40 cm

Tags

MA.6.GR.2.3

Haley is creating a model of the Great Pyramid for a project. The base is square with a side length of 7.8 inches and is 10.5 inches high. The slant height of each triangular face is 11.2 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

112.32 square in.

11.2 in.

7.8 in.

235.56 square in.

10.5 in.

224.64 square in.

449.28 square in.

Tags

MA.6.GR.2.4

What is the volume, in cubic centimeters, of the cube?

​ (a)  

There are 360 of these cubes that you see in the picture. All of these cubes were placed into a rectangular prism, with no gaps between them. Determine the volume, in cubic cm, of the box?

​ ​ (b)  

What are the possible dimensions of the box that the cubes were put in?

​ ​ (c)  

• 64 cubic cm

• 23,040 cubic cm

• 64 cm, 60 cm, 6 cm

• 48 cubic cm

• 16 cubic cm

• 17,280 cubic cm

• 5,760 cubic cm

• 32 cm, 30 cm, 3 cm

• 40 cm, 40 cm, 40 cm

Tags

MA.6.GR.2.3

Find the total surface area of the prism.

• 48 square inches

• 64 square inches

• 88 square inches

• 76 square inches

PART A: What is the volume of the cube?

​ ​ (a)  

PART B: There are 600 of these cubes that you see in the picture. All of these cubes were placed into a rectangular prism, with no gaps between them. Determine the volume, in cubic cm, of the box?

​ ​ ​ (b)  

PART C: What are the possible dimensions of the box that the cubes were put in?

​ ​ ​ (c)  

• 216

• 36

Tags

MA.6.GR.2.3

A company is packing 4 balls in a box that measures 4 inches by 4 inches by 2 inches. If each of the balls has a diameter of 2 inches about what percent of the box is taken up by the 4 balls? Round your answer to the nearest whole percent. Enter your numeric answer only, not the percent sign.