BMST - Basic Math and Science Geometric Area and Volume Questions and Answers

Question 1

A cylindrical storage tank has a radius of 5 meters and a height of 10 meters. What is the maximum volume of liquid the tank can hold? (Use π ≈ 3.14)

Accepted Answer

785 cubic meters

Answer

The volume of a cylinder is calculated using the formula V = πr²h. Given the radius (r) is 5 meters and the height (h) is 10 meters, the calculation is V = 3.14 * (5²)* 10 = 3.14 * 25 * 10 = 785 cubic meters.

Question 2

A rectangular garden has a length of 15 feet and a width of 8 feet. A triangular flower bed is situated in the corner, with a base of 6 feet and a height of 4 feet that are part of the garden's length and width. What is the total area of the garden that is NOT occupied by the flower bed?

Accepted Answer

108 sq ft

Answer

First, calculate the total area of the rectangular garden: Area = length × width = 15 ft × 8 ft = 120 sq ft. Next, calculate the area of the triangular flower bed: Area = ½ × base × height = ½ × 6 ft × 4 ft = 12 sq ft. Finally, subtract the area of the flower bed from the total area of the garden: 120 sq ft - 12 sq ft = 108 sq ft.

Question 3

Which of the following formulas correctly represents the volume of a rectangular prism?

Accepted Answer

V = length × width × height

Answer

The volume of a rectangular prism (or a box) is found by multiplying its three dimensions: length, width, and height. The formula is V = length × width × height.

Question 4

The area of a circle is 78.5 square inches. What is the approximate radius of the circle? (Use π ≈ 3.14)

Accepted Answer

5 inches

Answer

The formula for the area of a circle is A = πr². To find the radius, you rearrange the formula to r² = A / π. So, r² = 78.5 / 3.14 = 25. Then, take the square root of 25 to find the radius, r = 5 inches.

Question 5

A contractor needs to pour a concrete slab that is 20 feet long, 15 feet wide, and 0.5 feet thick. How many cubic feet of concrete will be needed?

Accepted Answer

150 cubic feet

Answer

The concrete slab is a rectangular prism. Its volume is calculated by multiplying its length, width, and height (thickness). Volume = 20 ft × 15 ft × 0.5 ft = 150 cubic feet.

BMST - Basic Math and Science Test Practice Test

BMST - Basic Math and Science Test Practice Test

BMST - Basic Math and Science Geometric Area and Volume Questions and Answers