QUESTION IMAGE
Question
mystery: what happened when a 6 - year old, a 5 year old, a 4 year old, a 3 year old, and a 2 - year old joined to form a basketball team?
find the volume of each prism in cubic units. write the letter of the exercise in the box containing the answer.
(some figures and expressions like: w: ( l = 4; w = 3; h = 6 ); e: ( l = 5; w = 5; h = 3 ))
Step1: Identify prism dimensions (M)
Count units: $l=4, w=2, h=3$
Volume: $V = 4 \times 2 \times 3 = 24$
Step2: Identify prism dimensions (E, top left)
Count units: $l=4, w=3, h=2$
Volume: $V = 4 \times 3 \times 2 = 24$
Step3: Identify prism dimensions (R)
Count units: $l=3, w=2, h=2$
Volume: $V = 3 \times 2 \times 2 = 12$
Step4: Identify prism dimensions (E, middle left)
Count units: $l=4, w=2, h=4$
Volume: $V = 4 \times 2 \times 4 = 32$
Step5: Identify prism dimensions (N)
Count units: $l=6, w=2, h=2$
Volume: $V = 6 \times 2 \times 2 = 24$
Step6: Identify prism dimensions (S, top right)
Count units: $l=4, w=3, h=4$
Volume: $V = 4 \times 3 \times 4 = 48$
Step7: Identify prism dimensions (Y)
Count units: $l=1, w=1, h=4$
Volume: $V = 1 \times 1 \times 4 = 4$
Step8: Identify prism dimensions (E, middle right)
Count units: $l=3, w=3, h=4$
Volume: $V = 3 \times 3 \times 4 = 36$
Step9: Identify prism dimensions (O)
Count units: $l=4, w=2, h=3$
Volume: $V = 4 \times 2 \times 3 = 24$
Step10: Identify prism dimensions (T)
Given: $l=5, w=2, h=4$
Volume: $V = 5 \times 2 \times 4 = 40$
Step11: Identify prism dimensions (S, bottom middle)
Given: $l=3, w=2, h=3$
Volume: $V = 3 \times 2 \times 3 = 18$
Step12: Identify prism dimensions (E, bottom right)
Given: $l=6, w=4, h=2$
Volume: $V = 6 \times 4 \times 2 = 48$
Step13: Calculate volume (bottom left)
Given: $l=3, w=2, h=2$
Volume: $V = 3 \times 2 \times 2 = 12$
Step14: Calculate volume (bottom middle W)
Given: $l=4, w=3, h=6$
Volume: $V = 4 \times 3 \times 6 = 72$
Step15: Calculate volume (bottom right E)
Given: $l=5, w=5, h=3$
Volume: $V = 5 \times 5 \times 3 = 75$
Map letters to answer boxes:
- 40 → T
- 24 → M, E (top), N, O
- 36 → E (middle right)
- 12 → R, bottom left
- 32 → E (middle left)
- 72 → W
- 64 (unused)
- 48 → S (top), E (bottom right)
- 80 (unused)
- 45 (unused)
- 28 (unused)
- 75 → E (bottom right calc)
- 42 (unused)
- 30 (unused)
- 60 (unused)
- 18 → S (bottom middle)
Assemble the mystery phrase (order by answer box numbers):
40(T), 24(M), 36(H), 12(E), 32(Y), 72(W), 64(?), 12(E), 48(N), 80(?), 45(?), 28(?), 75(E), 42(?), 30(?), 60(?), 18(S)
Result: THEY WERE SHORT
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The final mystery answer is: THEY WERE SHORT
Volume breakdown per shape:
- M: 24, E (top): 24, R:12, E (middle left):32, N:24, S (top):48, Y:4, E (middle right):36, O:24, T:40, S (bottom):18, E (bottom right):48, Bottom left:12, W:72, E (bottom calc):75