OAR OAR Math Skills: Geometry Questions and Answers 2 — Questions and Answers
Question 1: A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. What is its surface area?
- 158 sq cm (Correct answer)
- 120 sq cm
- 140 sq cm
- 176 sq cm
Correct answer: 158 sq cm
Surface area = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2(79) = 158 sq cm.
Question 2: Two similar triangles have a scale factor of 3:5. If the area of the smaller triangle is 27 sq in, what is the area of the larger triangle?
- 75 sq in (Correct answer)
- 45 sq in
- 135 sq in
- 81 sq in
Correct answer: 75 sq in
Area ratio equals the square of the scale factor: (3/5)^2 = 9/25, so 27/x = 9/25, giving x = 75 sq in.
Question 3: What is the measure of each interior angle of a regular octagon?
- 135 degrees (Correct answer)
- 120 degrees
- 140 degrees
- 150 degrees
Correct answer: 135 degrees
Interior angle = (n-2) x 180 / n = (8-2) x 180 / 8 = 1080 / 8 = 135 degrees.
Question 4: A chord is 6 cm from the center of a circle with radius 10 cm. What is the length of the chord?
- 16 cm (Correct answer)
- 12 cm
- 14 cm
- 8 cm
Correct answer: 16 cm
Half the chord = sqrt(10^2 - 6^2) = sqrt(64) = 8, so the full chord = 16 cm.
Question 5: If the diagonal of a square is 10 units, what is the area of the square?
- 50 sq units (Correct answer)
- 100 sq units
- 25 sq units
- 75 sq units
Correct answer: 50 sq units
Area of a square given its diagonal d is d^2/2 = 100/2 = 50 sq units.
Question 6: A cylinder has a radius of 4 cm and a height of 9 cm. What is its volume in terms of pi?
- 144pi cu cm (Correct answer)
- 36pi cu cm
- 72pi cu cm
- 108pi cu cm
Correct answer: 144pi cu cm
Volume = pi*r^2*h = pi*16*9 = 144pi cu cm.
OAR OAR Math Skills: Geometry Questions and Answers 2
A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm.
What is its surface area?