Cube = Three-Dimensional Shape with Six Square Faces (with all right angles)
Basics
s = Side
SA = Surface Area = area covering all surfaces of cube (measured in square units)
V = Volume = space occupied by cube (measured in cubic units)
Right Angle = 90°
All of the angles in a cube are right angles.
A cube is a special version of a right rectangular prism in which all faces are equal.
The math involving the geometric cube often requires the calculation of arithmetic squares, square roots, cubes, and cube roots.
is the squaring command.
is the square root command.
activates 
above 
.
“
3 is the cubing command.
3 
is the cube root command.
activates 
above 
.
Formulas (NOT on Mathematics Formula Sheet)
SA = 6s²
s = √SA÷6
V = s³
s = ³√V
Question
The side of an ice cube is 2.5 centimeters. What is its surface area?
Answer
37.5 square centimeters
Answer Process
SA = 6s²
SA = 6 × 2.5² = 37.5
| Input | Display | Comment |
 |
blinker | clears screen |
6 × 2.5  |
6*2.5² | SA = 6s² |
 |
37.5 | Answer |
Cube |
Question
The side of an ice cube is 2.5 centimeters. What is its volume?
Answer
15.625 cubic centimeters
Answer Process
V = s³
V = 2.5³ = 15.625
| Input | Display | Comment |
|
blinker | clears screen |
2.5  3 |
2.5³ | V = s³ |
|
15.625 | Answer |
Cube |
Question
The surface area of a large ice cube is 216 square centimeters. How long is its side?
Answer
6 centimeters
Answer Process
s = √SA÷6
s = √216÷6 = 6
| Input | Display | Comment |
|
blinker | clears screen |
  216 ÷ 6 |
√216÷6 |
s = √SA÷6 |
|
6 | Answer |
Cube |
Question
The volume of a large ice cube is 343 cubic centimeters. How long is its side?
Answer
7 centimeters
Answer Process
s = ³√V
s = ³√343 = 7
| Input | Display | Comment |
| clear | blinker | clears screen |
3  343 |
³√343 | s = ³√V |
|
7 | Answer |
Cube
|
Question
The surface area of a large ice block is 13824 square centimeters. What is its volume?
Answer
110592 cubic centimeters
Answer Process
s = √SA÷6
s = √13824÷6 = 48
V = s³
V = 48³ = 110592
| Input | Display | Comment |
|
blinker | clears screen |
| 13824 ÷ 6 |
√13824÷6 |
s = √SA÷6 |
|
48 | s |
| 48 3 |
48³ | V = s³ |
|
110592 | Answer |
Cube |
Question
The volume of a large ice cube is 729 cubic centimeters. What is its surface area?
Answer
486 square centimeters
Answer Process
s = ³√V
s = ³√729 = 9
SA = 6s²
SA = 6 × 9² = 486
| Input | Display | Comment |
| clear | blinker | clears screen |
| 3 729 |
³√729 | s = ³√V |
|
9 | s |
| 6 × 9 |
6*9² | SA = 6s² |
|
486 | Answer |
Cube |
Practice – Questions
1. The side of an alphabet cube is 8.7 centimeters. What is its surface area?
2. The side of an alphabet cube is 8.7 centimeters. What is its volume?
3. The surface area of a large alphabet cube is 3750 square centimeters. How long is its side?
4. The volume of a large alphabet cube is 4096 cubic centimeters. How long is its side?
5. The volume of a large alphabet cube is 6859 cubic centimeters. What is its surface area?
Practice – Answers
1. 454.14 square centimeters
2. 658.503 cubic centimeters
3. 25 centimeters
4. 16 centimeters
5. 2166 square centimeters