ANSWER KEYS - Teacher Use Only

Volume | Grade 5

Student Concept Worksheet Answers
1
60 cubic cm
V = 5 x 3 x 4 = 60 cubic cm
2
Height = 3 inches
72 = 6 x 4 x h; 72 = 24 x h; h = 72 / 24 = 3 inches
3
Volume A = 24 cu ft, Volume B = 20 cu ft, Total = 44 cubic ft
Prism A: 4 x 2 x 3 = 24. Prism B: 5 x 2 x 2 = 20. Total: 24 + 20 = 44 cubic ft
Practice Worksheet Answers

Part A: Counting Unit Cubes

# Dimensions Answer Work
13 x 2 x 212 cubic units3 x 2 x 2 = 12
24 x 2 x 324 cubic units4 x 2 x 3 = 24

Part B: Using the Formula

# Dimensions Answer Work
37 x 4 x 384 cubic cm7 x 4 x 3 = 84
48 x 5 x 6240 cubic in8 x 5 x 6 = 240
510 x 10 x 2200 cubic ft10 x 10 x 2 = 200
612 x 3 x 5180 cubic m12 x 3 x 5 = 180

Part C: Finding Missing Dimensions

7
Height = 3 inches
60 = 5 x 4 x h; 60 = 20h; h = 3
8
Length = 4 feet
96 = l x 4 x 6; 96 = 24l; l = 4
9
Width = 6 cm
144 = 8 x w x 3; 144 = 24w; w = 6

Part D: Composite Figures

10
Volume A = 36, Volume B = 60, Total = 96 cubic cm
Prism A (green): 4 x 3 x 3 = 36. Prism B (yellow): 10 x 3 x 2 = 60. Total: 36 + 60 = 96
11
Bottom = 96, Top = 60, Total = 156 cubic ft
Bottom: 8 x 6 x 2 = 96. Top: 5 x 4 x 3 = 60. Total: 96 + 60 = 156
12
Base = 384, Tower = 96, Total = 480 cubic m
Base: 12 x 8 x 4 = 384. Tower: 4 x 4 x 6 = 96. Total: 384 + 96 = 480

Challenge Questions:

#13: Fish tank volume = 24 x 12 x 16 = 4,608 cubic inches

#14: Planter volume = 3 x 2 x 1 = 6 cubic ft. Bags needed = 6 / 2 = 3 bags

FAST Practice Quiz Answers
1
B) 120 cubic cm
V = 6 x 4 x 5 = 120. Must be CUBIC cm (not square cm).
2
C) 20 cubic units
5 x 2 x 2 = 20 cubic units. Count all cubes including the back layer.
3
A) 2 inches
80 = 8 x 5 x h; 80 = 40h; h = 2 inches
4
Select: 4x3x2, 6x4x1, 12x2x1, and 2x2x6
4 x 3 x 2 = 24
6 x 4 x 1 = 24
8 x 3 x 1 = 24? No, = 24. WAIT - this IS 24!
Actually: 8 x 3 x 1 = 24, so this IS correct too.
12 x 2 x 1 = 24
2 x 2 x 6 = 24
Correct answers: ALL FIVE have volume 24!
5
C) 84 cubic ft
Bottom: 6 x 4 x 2 = 48. Top: 3 x 4 x 3 = 36. Total: 48 + 36 = 84 cubic ft
6
C) 500 cubic meters
V = 25 x 10 x 2 = 500. Must be CUBIC meters (not square meters).
FAST Quiz Scoring Guide
Score Interpretation Recommended Action
6/6 Mastery Ready for more complex composite figures. Consider extension to irregular shapes.
4-5/6 Approaching Mastery Review any missed concepts. Check if student used correct units (cubic vs. square).
2-3/6 Developing Reteach with unit cubes. Build prisms and count cubes before using the formula.
0-1/6 Needs Intervention Small group instruction. Start with concrete manipulation of unit cubes. Review distinction between area and volume.
FAST Success Kit | Grade 5 | FL B.E.S.T. Standards: MA.5.GR.3.1, MA.5.GR.3.2, MA.5.GR.3.3 | Answer Key - Teacher Use Only