BMST Geometric Area and Volume 3

Question 1

A sphere has a radius of 6 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

904.32 cubic cm

Answer

Volume of a sphere = (4/3) × π × r³ = (4/3) × 3.14 × 216 = 904.32 cubic cm.

Question 2

A farmer wants to fence a rectangular field 120 yards long and 85 yards wide. What is the total area of the field?

Accepted Answer

10,200 square yards

Answer

Area = length × width = 120 × 85 = 10,200 square yards.

Question 3

A cone has a base radius of 4 inches and a height of 9 inches. What is its volume? (Use π ≈ 3.14)

Accepted Answer

150.72 cubic inches

Answer

Volume of a cone = (1/3) × π × r² × h = (1/3) × 3.14 × 16 × 9 = 150.72 cubic inches.

Question 4

The base of a right triangle is 9 meters and the hypotenuse is 15 meters. What is the area of the triangle?

Accepted Answer

54 square meters

Answer

Using the Pythagorean theorem, height = √(15² - 9²) = √144 = 12 m; Area = ½ × 9 × 12 = 54 square meters.

Question 5

A square tile has a side of 9 inches. How many tiles are needed to cover a floor area of 3,645 square inches?

Accepted Answer

45 tiles

Answer

Area of one tile = 9² = 81 square inches; Number of tiles = 3,645 ÷ 81 = 45 tiles.

BMST - Basic Math and Science Test Practice Test