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30 multiple-choice questions and 20 flashcards on Volume of Right Rectangular Prisms with Fractional Edges, about 20% of the 6th Math: Geometry bank. Every one carries a written rationale.
Volume of Right Rectangular Prisms with Fractional Edges is one of 4 chapters in CoStudy's 6th Math: Geometry bank, and it holds 30 of the bank's 150 multiple-choice questions — roughly 20% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
10 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
The volume of a cube with side 1/2 unit is:
Answer: A — 1/8
V = (1/2)³ = 1/8. (B), (C), (D) misapply.
A storage container measures 3.5 ft × 2 ft × 2 ft. Volume:
Answer: D — 14
3.5·2·2 = 14 cu ft. (A) misses one dim; (C), (B) miscalculate.
How many unit cubes (1×1×1) fit in a 3×4×2 box?
Answer: D — 24
V = 3·4·2 = 24. (A), (C), (B) miscalculate.
The volume of a rectangular prism with length 4, width 3, height 5 is:
Answer: C — 60
V = lwh = 4·3·5 = 60. (A), (B), (D) miscalculate.
A cube has volume 125 cubic units. Each edge is:
Answer: A — 5
A) ∛125 = 5. C) Used s². B) Halved volume. D) Wrong factor.
Volume of a cube with side length 5:
Answer: B — 125
B) V = s³ = 5³ = 125. A) Used s². C) Tripled s². D) Used 4s².
A box has dimensions 1/2 × 1/4 × 2/3 ft. Volume:
Answer: D — 1/12
V = (1/2)(1/4)(2/3) = 2/24 = 1/12 cu ft. (A) miscalculates; (C), (B) misapply.
A fish tank is 24 in × 12 in × 18 in. Volume in cubic inches:
Answer: A — 5184
A) 24·12·18 = 5184. B) Sum. C) Two-dim product (24·18). D) 24·12.
Volume of a prism with length ¾, width 2, height 4:
Answer: B — 6
B) V = ¾ · 2 · 4 = 6. A) Multiplied only first two terms. C) Dropped the 2. D) Treated ¾ as 1.
A garden bed is 8 ft × 5 ft. To fill it ½ ft deep with mulch, volume needed:
Answer: C — 20 ft³
C) 8·5·½ = 20. A) Sum. B) Forgot ½. D) Doubled.
4 cards from the 20 in this chapter.
Find the area of a parallelogram with base 10 and height 6.
60 sq units.
What is the volume of a 2 × 3 × 1/2 box?
3 cubic units.
Find perimeter of a rectangle with l=8, w=5.
26 units.
Surface area of a cube formula?
SA = 6s².
These are a sample. The full Volume of Right Rectangular Prisms with Fractional Edges chapter runs 50 items with per-chapter progress tracking, on the web and in the iOS app.
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