Right Rectangular Prism = ThreeDimensional Shape in which Opposite Faces are Equal (with all right angles)
Basics
l = length
w = width
h = height
p = perimeter of base
B = area of base
Base = floor of prism
SA = Surface Area = area covering all surfaces of prism (measured in square units)
V = Volume = space occupied by prism (measured in cubic units)
A cube is a special version of a right rectangular prism in which all faces are equal.
Formulas (Mathematics Formula Sheet)
SA = ph + 2B
V = Bh
Formulas (NOT on Mathematics Formula Sheet)
p = 2l + 2w
B = lw
h = V ÷ B
Question
A cinder block has a length of 100 centimeters, width 60 centimeters, and height 80 centimeters. What is its surface area?
Answer
37600 square centimeters
Answer Process
p = 2l + 2w
p = 2 × 100 + 2 × 60 = 320
B = lw
B = 100 × 60 = 6000
SA = ph + 2B
SA = 320 × 80 + 2 × 6000 = 37600
Input  Display  Comment 
blinker  clears screen  
2 × 100 + 2 × 60  2*100+2*60  p = 2l + 2w 
320  p  
100 × 60  100*60  B = lw 
6000  B  
320 × 80 + 2 × 6000  320*80+2*6000  SA = ph + 2B 
37600  Answer  
Right Rectangular Prism 
Question
With reference to the question above, what is the cinder block’s surface area in square meters?
Answer
3.76 square meters
Answer Process
See Measurement.
Square Meters = Square Centimeters ÷ 10000 square centimeters per square meter
Square Meters = 37600 ÷ 10000 = 3.76 square meters
Input  Display  Comment 
blinker  clears screen  
2 × 100 + 2 × 60  2*100+2*60  p = 2l + 2w 
320  p  
100 × 60  100*60  B = lw 
6000  B  
320 × 80 + 2 × 6000  320*80+2*6000  SA = ph + 2B 
37600  
37600 ÷ 10000  37600÷10000  Square Meters = Square Centimeters ÷ 10000 square centimeters per square meter 
3.76  Answer  
Right Rectangular Prism 
Question
A cinder block has a length of 100 centimeters, width 60 centimeters, and height 80 centimeters. What is its volume?
Answer
480000 cubic centimeters
Answer Process
B = lw
B = 100 × 60 = 6000
V = Bh
V = 6000 × 80 = 480000
Input  Display  Comment 
blinker  clears screen  
100 × 60  100*60  B = lw 
6000  B  
6000 × 80  6000*80  V = Bh 
480000  Answer  
Right Rectangular Prism 
Question
With reference to the question above, what is the cinder block’s volume in cubic meters?
Answer
0.48 cubic meters
Answer Process
See Measurement.
Cubic Meters = Cubic Centimeters ÷ 1000000 cubic centimeters per cubic meter
Cubic Meters = 480000 ÷ 1000000 = 0.48 cubic meters
Input  Display  Comment 
blinker  clears screen  
100 × 60  100*60  B = lw 
6000  B  
6000 × 80  6000*80  V = Bh 
480000  
480000 ÷ 1000000  480000÷1000000  Cubic Meters = Cubic Centimeters ÷ 1000000 cubic centimeters per cubic meter 
0.48  Answer  
Right Rectangular Prism 
Question
A toy block has a length of centimeters, width centimeters, and height centimeters. To the nearest hundredth of a cubic centimeter, what is its volume?
Answer
580.13 cubic centimeters
Answer Process
B = lw
B = =
V = Bh
V = = = 580.125 after toggle = 580.13 after rounding
Input  Display  Comment 
blinker  clears screen  
10 1 2 × 6 1 2 
B = lw  
B  
273 4 × 8 1 2 
V = Bh  
580.125  Answer (before rounding) 

Right Rectangular Prism 
Question
A cinder block has a length of 120 centimeters, width 50 centimeters, and volume 780000 cubic centimeters. What is its height?
Answer
130 centimeters
Answer Process
B = lw
B = 120 × 50 = 6000
h = V ÷ B
h = 780000 ÷ 6000 = 130
Input  Display  Comment 
blinker  clears screen  
120 × 50  120*50  B = lw 
6000  B  
780000 ÷ 6000  h = V ÷ B  
130  Answer  
Right Rectangular Prism 
Practice – Questions
1. A cinder block has a length of 50 centimeters, width 30 centimeters, and height 40 centimeters. What is its surface area?
2. With reference to Question 1, what is the cinder block’s surface area in square meters?
3. A cinder block has a length of 50 centimeters, width 30 centimeters, and height 40 centimeters. What is its volume?
4. A toy block has a length of centimeters, width centimeters, and height centimeters. To the nearest hundredth of a cubic centimeter, what is its volume?
5. A cinder block has a length of 60 centimeters, width 25 centimeters, and volume 67500 cubic centimeters. What is its height?
Practice – Answers
1. 9400 square centimeters
2. 0.94 square meters
3. 60000 cubic centimeters
4. 86.63 cubic centimeters
5. 45 centimeters