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39 multiple-choice questions and 15 flashcards on Surface Area Using Nets, about 26% of the 6th Math: Geometry bank. Every one carries a written rationale.
Surface Area Using Nets is one of 4 chapters in CoStudy's 6th Math: Geometry bank, and it holds 39 of the bank's 150 multiple-choice questions — roughly 26% 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.
A rectangle has perimeter 24 and width 4. Length:
Answer: B — 8
P = 2(l+w) = 24 → l+w = 12 → l = 8. (A), (C), (D) miscalculate.
A cube has 6 faces, each 4×4. Its surface area is:
Answer: D — 96
Each face = 16. 6 × 16 = 96. (A) is one face; (B), (C) misapply.
A box is 5 in × 4 in × 2 in. To wrap, you need at least the SA. SA equals:
Answer: D — 76 in²
D) 2(20+10+8) = 76. A) Volume. B) Half. C) Single trio.
A net for a cube uses how many congruent squares?
Answer: C — 6
C) Cube has 6 faces. A/B/D) Miscount.
A square pyramid's net has:
Answer: A — 1 square + 4 triangles
A) Square base + 4 triangular lateral faces. B/C/D) Other figures.
How many faces does a rectangular prism have?
Answer: C — 6
6 faces (3 pairs). (A) is a tetrahedron; (B) is a pyramid; (D) is a cube edges/2.
The net of a cube consists of how many squares?
Answer: C — 6
C) Each cube face is one square; six faces total. A) Too few. B) Confused with edges. D) Number of edges.
A right rectangular prism has volume 60. If l = 3, w = 4, height is:
Answer: B — 5
60 = 3·4·h → h = 5. (A), (C), (D) miscalculate.
A garden bed is 4 ft × 6 ft. To fill it 1/2 ft deep with soil, how much soil (cu ft)?
Answer: A — 12
V = 4 × 6 × 0.5 = 12 cu ft. (B) is twice deep; (C), (D) misapply.
A wall is 12 ft long and 8 ft tall. How much paint is needed if 1 gallon covers 200 sq ft?
Answer: B — 0.48 gal
Wall area = 96 sq ft. 96/200 = 0.48 gal. (A), (C), (D) misapply.
4 cards from the 15 in this chapter.
Find SA of a 2×3×4 rectangular prism.
52 sq units. (2(6 + 8 + 12) = 2(26) = 52.)
What's the formula for surface area of a cube?
SA = 6s² (where s is side length).
What's the formula for surface area of a rectangular prism?
SA = 2(lw + lh + wh). Sum of three pairs of faces.
Which quadrant has both x > 0 and y > 0?
Quadrant I.
These are a sample. The full Surface Area Using Nets chapter runs 54 items with per-chapter progress tracking, on the web and in the iOS app.
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