Geometry Volume and Surface Area

Find the ratio of the surface area to the volume of a cube with sides of length 5.

(Reminder - the ratio of surface area to volume should be denoted as SA: Volume)

• 6 : 5

• 2 : 1

• 120 : 1.2

• 5 : 4

Tags

CCSS.6.G.A.4

A cylinder with a radius of 6cm and a height of 15 cm has a cylindrical cut out of the middle of it with a radius of 5 cm. Find the volume of the cylinder that remains, rounded to the nearest whole number. (Note: you can use either the exact value of \(\pi\), or 3.14 as an approximation. Both yield the same answer when rounded.)

(a)  

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The volume of a cylinder is 402 cubic units. The radius of the cylinder is 4 units.

Find the height, and enter the value of the height rounded to the nearest whole number.

(Note: Figure is not necessarily drawn to scale)

(a)  

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the surface area of the figure below.

Tags

CCSS.7.G.B.6

Find the total surface area of the prism.

• 48 square inches

• 64 square inches

• 88 square inches

• 76 square inches

Tags

CCSS.7.G.B.6

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

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

10.5 in.

112.32 square in.

11.2 in.

224.64 square in.

235.56 square in.

449.28 square in.

7.8 in.

Tags

MA.6.GR.2.4

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

When trying to answer the question below, would it be more helpful to think about the surface area or the volume? What size of dumpster should I order when doing construction on my house?

• surface area

• volume