Area and Volume Flashcards
7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Area and Volume flashcards as text
What is the area of a circle with diameter 10? (Leave answer in terms of π)
Answer: 25π
Radius = 5; Area = π(5²) = 25π.
A rectangular prism has volume 180 cm³, length 9 cm, and width 4 cm. What is its height?
Answer: 5 cm
h = V ÷ (l × w) = 180 ÷ 36 = 5 cm.
The length of a rectangle is twice its width. If the area is 72 m², what is the width?
Answer: 6 m
Let w = width, l = 2w; A = 2w² = 72 → w² = 36 → w = 6 m.
A trapezoid has parallel sides of 8 cm and 12 cm, and a height of 5 cm. What is its area?
Answer: 50 cm²
A = ½(b₁ + b₂)h = ½(8 + 12)(5) = ½ × 20 × 5 = 50 cm².
A sphere's radius is tripled. By what factor does its volume increase?
Answer: 27
Volume ∝ r³; tripling r multiplies volume by 3³ = 27.
A triangular prism has a triangular cross-section with base 6 m and height 4 m, and prism length 10 m. What is its volume?
Answer: 120 m³
V = (½ × 6 × 4) × 10 = 12 × 10 = 120 m³.
A square has an area of 144 cm². What is the perimeter of the square?
Answer: 48 cm
Side = √144 = 12 cm; Perimeter = 4 × 12 = 48 cm.
How this page was made: written with AI tools and published by Nathan Beja, founder of Practice Test Geeks, who is responsible for its content. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy
Sources & references
Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy
- satsuite.collegeboard.org — Score release, test delivery, time limit, test dates, fees, registration, retake policy · verified Oct 2026
- bluebook.collegeboard.org — Test delivery · verified Oct 2026