Question 1
The Pranger Metal Company makes solid cylindrical steel rods by melting down blocks of steel and pouring the melted steel into molds. Each cylindrical rod has a diameter of 14 inches and a height of 8 inches, and the dimensions of each steel block are 2 feet by 12 feet by 15 feet. If no steel is lost in the production process, how many complete cylinders can be made from a single block of steel?
Question 2
What is the surface area of a right rectangular cylinder with a radius of r and a height that is 1.5 times its diameter?
6πr2 + 4πr
7πr2
8πr2
3πr3 + 2πr2
3πr3 + 4πr
Question 3
If the volume of a cube equals 64, what is the surface area of the cube?
Question 4
The diagonal of the face of a cube is less than 10 
cm. Which of the following could be the volume of the cube?
Indicate all such values.
27 cm3
64 cm3
125 cm3
476 cm3
729 cm3
1,000 cm3
Question 5
To pack her books, Rebekka requires a cube-shaped box with a volume of at least 2 cubic feet. Which of the following amounts could be the length of the edge of her box, in feet?
Indicate all such values.
1.1
1.2
1.3
1.4
1.5
Question 6
Emily must ship a cylinder-shaped gift with a height of 11 inches and a volume of 176π cubic inches. What is the volume, in cubic inches, of the smallest rectangular box which can contain this cylinder?
Question 7
In the rectangular solid above, RS = ST = TU = 7.5. Which of the following statements must be true?
Indicate all such statements.
The surface area of the rectangular solid is 421.875
The volume of the rectangular solid is 337.5
WT (not shown) = UT
The distance from V to S is 12.99
Question 8
A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?
41
43
44
47
52
Question 9
What is the surface area, in square inches, of a box that measures 29 inches by 37 inches by 47 inches?
Question 10
If the volume of a cube is 125, then the total area of 2 of its faces is
20
25
40
50
75
Question 11
The volume of the rectangular solid above is 720. If AF = 15, which of the following is closest to the distance from C to F?
6
8
12
15
18
Question 12
A cylindrical object has a volume of 332.75π cubic inches, and its height is equal to its diameter. What is the radius of the object?
Question 13
Note: Figure not drawn to scale
In the rectangular solid depicted above, AB = 6, BC = 8, CD = 5, and AE > EB > 2. Which of the following could be possible values for the volume of the shaded area?
Indicate all such values.
60
70
150
170
180
240