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

314 cubic meters

Answer

1570 cubic meters

Answer

500 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

120 sq ft

Answer

132 sq ft

Answer

96 sq ft

Question 3

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

Accepted Answer

V = length × width × height

Answer

V = length + width + height

Answer

V = 2(length × width) + 2(length × height) + 2(width × height)

Answer

V = π × radius² × 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

25 inches

Answer

10 inches

Answer

12.5 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

300 cubic feet

Answer

35.5 cubic feet

Answer

600 cubic feet

Question 6

What is the surface area of a cube with a side length of 4 cm?

Accepted Answer

96 cm²

Answer

64 cm²

Answer

16 cm²

Answer

24 cm²