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- Question
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
- Correct Answer
- 27
ExplanationOther side= = = = 6ft
Area of closet =(6 x 4.5)sq.ft = 27 sq.ft
- 1. 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 Discuss
- 2. 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 Discuss
- 3. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
Options- A. 344.35 sq.cm
- B. 462 sq.cm
- C. 498.35 sq.cm
- D. None of these Discuss
- 4. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
Options- A. 84
- B. 90
- C. 168
- D. 336 Discuss
- 5. A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ?
Options- A. 22/7 x 24/35
- B. 22/7 x 36 x 4
- C. 22/7 x 36/5
- D. 22/7 x 37/21 Discuss
- 6. 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 Discuss
- 7. 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 Discuss
- 8. 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
- 9. 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 Discuss
- 10. 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
Volume and Surface Area problems
Search Results
Correct Answer: 92 units
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.
Correct Answer: 498.35 sq.cm
Explanation:
h = 14 cm, r = 7 cm.
So, l =
Total surface area = =
=
= (3.236 x 154) sq.cm
= 498.35 sq.cm
Correct Answer: 84
Explanation:
Let the length of the wire be h.
Radius r =1/2 mm = 1/20 cm
=> h= (66 x 20 x 20) x (7/22) = 8400cm = 84m
Correct Answer: 22/7 x 24/35
Explanation:
Since level of water increased in cylinder by height 4.
This is because of the rectangular block .
Therefore , area of rectangular block immersed in water is
=
Thats why portion of block immersed in water is
= (22/7 * 36 * 4) / total vol. of rectangle
= (22/7 * 36 * 4)/ (7*5*6)
= (22/7 * 24)/ 35.
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
Correct Answer: 720 cub.cm
Correct Answer: 5120
Correct Answer: 2:1
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%
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