The diagonal of one face of a cube measures 42 inches . what is the volume of the cube?

A 242 cubic inches
B 128 2 cubic is inches
C 64 cbic inches
D None of these

Correct Answer: 64 cbic inches

Let's call the length of each side of the cube 's'. Then the diagonal of one face is 4√2 inches. We can use the Pythagorean theorem to find the length of 's':s2 + s2 = (4√2)2 ⇒ 2s2 = 32 ⇒ s2 = 16 ∴ s = 4 inchesSo the volume of the cube is:V = s3 ⇒ V = 43 ∴ V = 64 cubic inches.
Bissoy MCQ
#গণিত #Oil & Gas Co. Ltd #Titas Gas Co.Ltd - Deputy Asst. Engineer - 18.02.2011

Related Questions

The water in a fish tank measuring 114 feet by 8 inches is 7 inches high. The water is poured into another tank measuring 14 inches by 20 inches. What will be the height of water, in inches, in the second tank?
A 1/4
B 2
C 3
D 1/12
A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the border is 144 square inches, what is the width of the border, in inches?
A 10
B 3
C 7
D 8
A bar of soap has a volume of 18 cubic inches. Jasim used it until it measured 2.75 inches by 2 inches by 1 inch. How many cubic inches of soap did jasim use?
A 14.25
B 5.75
C 8.5
D 12.5
A rectangular box is 10 inches wide, 10 inches long and 5 inches high. what is the greatest possible distance, in inches ,between any two points on the box?
A 15
B 20
C 25
D 10
A rectangular box ix 10 inches wide, 10 inches long and 5 inches high . What is the greatest possible (straight line) distance , in inches, between any two points on the box ?
A 15
B 20
C 25
D 10
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight line) distance, in inches, between any two points on the box?
A 15
B 20
C 25
D 10
A picture is copied onto a sheet of paper, which measures 8.5 inches by 10 inches. A border of 1.5 inch is left all around. What is the area, in square inches, covered by the picture?
A 76
B 65
C 38.5
D 59.5
A picture is copied onto a sheet of paper, which measures 8.5 inches by 10 inches. A border of 1.5 inch is left all around. What is the area , in squar inches , covered by yhe picture ?
A 76
B 65
C 38.5
D 59.5
A snapshot measures 5/2 inches by 15/8 inches. It is to be enlarged so that the longer dimension will be 4 inches. What will be the length of the enlarged shorter dimension then?
A 2 : 1
B 4 : 3
C 1 : 2
D 4 :2
In a group of 4 people, the height of the group members are 5 feet 4 inches, 5 feet, 5 feet 6 inches, and 4 feet 10 inches. The average height of the group members is :
A 5 feet
B 5 feet 1 inches
C 5 feet 2 inches
D 5 feet 3 inches

Next steps