Geometric Area and Volume Flashcards

A rectangular swimming pool is 25 meters long and 10 meters wide. What is the area of the pool's surface?

Answer: 250 square meters

Area of a rectangle = length × width = 25 × 10 = 250 square meters.

A cylindrical water tank has a radius of 3 feet and a height of 8 feet. What is its volume? (Use π ≈ 3.14)

Answer: 226.08 cubic feet

Volume of a cylinder = π × r² × h = 3.14 × 9 × 8 = 226.08 cubic feet.

A triangular plot of land has a base of 60 feet and a height of 40 feet. What is its area?

Answer: 1,200 square feet

Area of a triangle = ½ × base × height = ½ × 60 × 40 = 1,200 square feet.

What is the volume of a cube with a side length of 5 cm?

Answer: 125 cubic cm

Volume of a cube = side³ = 5³ = 125 cubic centimeters.

A circle has a diameter of 14 inches. What is its area? (Use π ≈ 3.14)

Answer: 153.86 square inches

Radius = 7 inches; Area = π × r² = 3.14 × 49 = 153.86 square inches.

A rectangular box is 4 inches long, 3 inches wide, and 2 inches tall. What is its volume?

Answer: 24 cubic inches

Volume = length × width × height = 4 × 3 × 2 = 24 cubic inches.

A trapezoid has parallel sides of 8 cm and 12 cm and a height of 5 cm. What is its area?

Answer: 50 square cm

Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = 50 square cm.