West B Test Math: Geometry and Measurement 4

Question 1

A rectangular prism has a length of 8 ft, width of 3 ft, and height of 5 ft. What is its surface area?

Accepted Answer

158 ft²

Answer

Surface area = 2(lw + lh + wh) = 2(24 + 40 + 15) = 2(79) = 158 ft².

Question 2

On a coordinate plane, what is the distance between points (1, 2) and (4, 6)?

Accepted Answer

5 units

Answer

Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5 units.

Question 3

A sector of a circle has a central angle of 90° and a radius of 6 cm. What is the area of the sector? (Use π ≈ 3.14)

Accepted Answer

28.26 cm²

Answer

Area = (90/360) × π × 6² = 0.25 × 3.14 × 36 = 28.26 cm².

Question 4

Which of the following is NOT a property of a parallelogram?

Accepted Answer

All angles are 90°

Answer

A parallelogram does not require right angles; rectangles and squares are special parallelograms that have 90° angles.

Question 5

If a polygon has an interior angle sum of 1080°, how many sides does it have?

Accepted Answer

8

Answer

Using (n−2) × 180° = 1080°, we get n−2 = 6, so n = 8 sides.

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