BMST Geometric Area and Volume 5 — Questions and Answers
Question 1: A circular pizza has a diameter of 16 inches. What is the area of the entire pizza? (Use π ≈ 3.14)
- 200.96 square inches (Correct answer)
- 50.24 square inches
- 803.84 square inches
- 100.48 square inches
Correct answer: 200.96 square inches
Radius = 8 inches; Area = π × r² = 3.14 × 64 = 200.96 square inches.
Question 2: A storage unit is shaped like a rectangular prism with dimensions 8 ft × 6 ft × 5 ft. What is its volume?
- 240 cubic feet (Correct answer)
- 480 cubic feet
- 120 cubic feet
- 360 cubic feet
Correct answer: 240 cubic feet
Volume = length × width × height = 8 × 6 × 5 = 240 cubic feet.
Question 3: If you double the radius of a circle, the area becomes how many times larger?
- 4 times larger (Correct answer)
- 2 times larger
- 8 times larger
- 3 times larger
Correct answer: 4 times larger
Area = πr²; doubling r gives π(2r)² = 4πr², so the area is 4 times larger.
Question 4: A semicircle has a diameter of 20 cm. What is the area of the semicircle? (Use π ≈ 3.14)
- 157 square cm (Correct answer)
- 314 square cm
- 62.8 square cm
- 628 square cm
Correct answer: 157 square cm
Radius = 10 cm; Semicircle area = ½ × π × r² = ½ × 3.14 × 100 = 157 square cm.
Question 5: A rectangular garden plot is 18 feet long. If its area is 216 square feet, what is its width?
- 12 feet (Correct answer)
- 9 feet
- 6 feet
- 24 feet
Correct answer: 12 feet
Width = Area ÷ Length = 216 ÷ 18 = 12 feet.
Question 6: A triangular prism has a triangular face with base 6 cm and height 4 cm, and a length of 10 cm. What is its volume?
- 120 cubic cm (Correct answer)
- 240 cubic cm
- 60 cubic cm
- 180 cubic cm
Correct answer: 120 cubic cm
Volume = area of triangle × length = (½ × 6 × 4) × 10 = 12 × 10 = 120 cubic cm.
Question 7: Which shape has the largest area: a square with side 6 cm, a circle with radius 3.5 cm, or a rectangle 8 cm × 4 cm? (Use π ≈ 3.14)
- Square (36 sq cm)
- Circle (38.47 sq cm) (Correct answer)
- Rectangle (32 sq cm)
- All are equal
Correct answer: Circle (38.47 sq cm)
Square = 36 sq cm; Circle = 3.14 × 3.5² = 38.465 sq cm; Rectangle = 32 sq cm — the circle is largest.
BMST Geometric Area and Volume 5
A circular pizza has a diameter of 16 inches.
What is the area of the entire pizza? (Use π ≈ 3.14)