Volume and Surface Area problems
- 1. How many meshes are there in 1 squrare meter of wire gauge if each mesh is 8mm long and 5mm wide ?
Options- A. 2500
- B. 25000
- C. 12500
- D. 15400 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 25000
Explanation:
We know that,
One square meter is equal to 10,00,000 sq mm.
Given, each mesh is 8mm length and 5mm wide
Therefore for each mesh : 8 x 5 = 40 sq mm.
So, number of meshes =
= 25000.
- 2. Solve the triangle b=36 a=38 c=18 for perimeter of the triangle?
Options- A. 74 units
- B. 92 units
- C. 56 units
- D. 54 units Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 92 units
- 3. The diagonal of the floor of a rectangular closet is 712 feet. The shorter side of the closet is 412 feet. What is the area of the closet in square feet?
Options- A. 5 .5
- B. 13.5
- C. 27
- D. 37 Discuss
Correct Answer: 27
Explanation:
Other side= = = = 6ft
Area of closet =(6 x 4.5)sq.ft = 27 sq.ft
- 4. Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ?
Options- A. 6000
- B. 5400
- C. 3800
- D. 4700 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 6000
Explanation:
Let 'B' be the nuber of bricks.
=> 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B
=> 10 x 20 x 90 = 15 x 2 x B
=> B = 6000
- 5. If the area of three Adjacent faces of a cuboidal box are 120 cm², 72 cm², and 60 cm² respectively, then the volume of the box is
Options- A. 640 cub.cm
- B. 720 cub.cm
- C. 860 cub.cm
- D. 945 cub.cm Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 720 cub.cm
- 6. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:
Options- A. 4830
- B. 5120
- C. 6420
- D. 8960 Discuss
Correct Answer: 5120
- 7. Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG: GF is
Options- A. 1:2
- B. 2:1
- C. 1:3
- D. 2:3 Also asked in: Bank Exams
Correct Answer: 2:1
- 8. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Options- A. 10%
- B. 10.08%
- C. 20%
- D. 28% Discuss
Correct Answer: 28%
Explanation:
Let original length = x and original breadth = y.
Decrease in area = xy -[(80/100x) * (90/100y)]
=[(xy-(18/25)xy)]
=(7/25)xy
Decrease % =[(7/25)xy * (1/xy) * 100] =28%
- 9. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Options- A. 814
- B. 820
- C. 840
- D. 844 Discuss
Correct Answer: 814
Explanation:
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) sq.cm
Required number of tiles = 1517 x (902/41) x 41 = 814
- 10. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Options- A. 34
- B. 40
- C. 68
- D. 88 Discuss
Correct Answer: 88
Explanation:
We have: l = 20 ft and lb = 680 sq. ft.
So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
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