Geometry & Measurement Flashcards
6 cards from real AMC 8 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Geometry & Measurement flashcards as text
What is the volume of a rectangular box with dimensions 3 × 4 × 5?
Answer: 60
Volume = length × width × height = 3 × 4 × 5 = 60 cubic units.
In a right triangle, the two legs are 5 and 12. What is the length of the hypotenuse?
Answer: 13
By the Pythagorean theorem, hypotenuse = √(5² + 12²) = √(25 + 144) = √169 = 13.
A trapezoid has parallel bases of length 6 and 10, and a height of 4. What is its area?
Answer: 32
Area = ½ × (b₁ + b₂) × h = ½ × (6 + 10) × 4 = 32.
Two supplementary angles are in the ratio 2:7. What is the measure of the larger angle?
Answer: 140°
Let the angles be 2x and 7x; then 2x + 7x = 180°, giving x = 20°, so the larger angle = 7 × 20° = 140°.
How many degrees are there in the sum of the interior angles of a pentagon?
Answer: 540°
The interior angle sum of a pentagon = (5−2) × 180° = 3 × 180° = 540°.
A right triangle has one leg of length 8 and hypotenuse of length 10. What is the area of the triangle?
Answer: 24
The other leg = √(10² − 8²) = √(100 − 64) = √36 = 6, so area = ½ × 8 × 6 = 24.