Discussion
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- Question
- The volume of a cube is numerically equal to sum of its edges. What is the total surface area in square units?
Options- A. 12
- B. 36
- C. 72
- D. 144
- Correct Answer
- 72
ExplanationLet the edge of a square be x. and sum of its edges = 12 x
Now, by condition, x3 = 12x
? x(x2 - 12) = 0
? Its total surface area = 6x2 = 6(12) = 72 sq units - 1. What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm?
Options- A. 9, 8 and 10 cm
- B. 12, 6 and 10 cm
- C. 18, 4 and 10 cm
- D. 30, 2 and 12 cm Discuss
- 2. The paint in certain container is sufficient to paint an area equal to dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container?
Options- A. 100
- B. 200
- C. 50
- D. 175 Discuss
- 3. The capacity of a cuboid tank of water is 50000 L. Find the breadth of the tank, if its length and depth are 2.5 m and 10 m, respectively.
Options- A. 2 m
- B. 4 m
- C. 9 m
- D. 6 m Discuss
- 4. If the area of three advancement faces of a cuboidical box 120 sq cm, 72 sq cm and 60 sq cm, respectively, then find the volume of the box.?
Options- A. 820 cm3
- B. 720 cm3
- C. 750 cm3
- D. 750 cm3 Discuss
- 5. The whole surface area of a rectangular block is 8788 sq cm. If length, breadth and height are in ratio of 4 : 3 : 2, then find the length.?
Options- A. 26 cm
- B. 52 cm
- C. 104 cm
- D. 13 cm Discuss
- 6. If each side of a cube is decreased by 19%, then decrease in surface area is?
Options- A. 40%
- B. 38.4%
- C. 35%
- D. 34.39% Discuss
- 7. If the side of a cube is increased by 12%, by how much per cent does its volume increase?
Options- A. 40.4928%
- B. 50.5240%
- C. 60.3292%
- D. 30.4928% Discuss
- 8. Find the volume of a right circular cylinder of length 80 cm and diameter of the base 14 cm.?
Options- A. 1400 cm3
- B. 1553 cm3
- C. 12320 cm3
- D. 13320 cm3 Discuss
- 9. The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder.?
Options- A. 2068 sq cm
- B. 1825 sq cm
- C. 1925 sq cm
- D. 2160 sq cm Discuss
- 10. If the lateral surface area of a cylinder is 94.2 sq cm and its height is 5 cm, then find the radius of its base. (? = 3.14)?
Options- A. 5 cm
- B. 8 cm
- C. 3 cm
- D. 4 cm Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 9, 8 and 10 cm
Explanation:
Volume of the cuboid = 720 cm3
Height of the cuboid = Volume of the cuboid / Base area of the cuboid
= 720 / 72 = 10 cm [By Hit Trail]
Surface area of the cuboid = 2 (lb + bh + hl)
= 2(9 x 8 + 8 x 10 + 10 x 9 )
= 2 (72 + 80 + 90)
= 2 x 242
= 484 cm2
? It is obvious that length, breadth and height of the cuboid is 9 cm, 8 cm and 10 cm.
Correct Answer: 100
Explanation:
Surface area of 1 brick
= 2 (lb + bh + lh)
= 2(22.5 x 10 + 10 x 7.5 + 7.5 x 22.5)
= 2(225 + 75 + 168.75)
= 2 x 468.75 = 937.50 cm2
= 93750/(100 x 100) = 0.09375 sq m
? Number of bricks = Total area/Surface area of 1 brick
= 9.375 / 0.09375 = 100
Correct Answer: 2 m
Explanation:
Capacity of tank = = 50000 L = 50 m3 [? 1L = 1/1000 m3 ]
? Breadth = 50/(2.5 x 10) = 2 m
Correct Answer: 720 cm3
Explanation:
Given, lb = 120 sq cm., bh = 72 sq cm, lh = 60 sq cm.
? lb x bh x lh = 120 x 72 x 60
? (lbh)2 = 120 x 72 x 60
? lbh = ?120 x 72 x 60
= ?12 x 10 x 12 x 6 x 10 x 6
= 12 x 10 x 6 = 720 cm3
Correct Answer: 52 cm
Explanation:
Let length, breadth and height be 4k, 3k and 2k, respectively.
Whole surface area = 2(lb + bh + lh)
? (lb + bh + lh) = 8788/2 = 4394
? (4 x 3 + 3 x 2 + 2 x 4 ) k2 = 4394
? 26k2 = 4394
? k2 = 169
? k = 13
? Length = 4k = 4 x 13 = 52 cm
Correct Answer: 34.39%
Explanation:
Here, x = y = -19%
According to the formula,
Percentage decrease in surface area
= [x + y + xy/100]%
= [- 19 - 19 + (-19) x (-19) /100]%
=[-38 + 361/100]%
= [-38 + 3.61]% = -34.39 %
Correct Answer: 40.4928%
Explanation:
Here, k = 12%
According to the formula,
Percentage increase in volume = [(1 + k/100)3 - 1] x 100%
= [(1 + 12/100)3 - 1] x 100%
= [(1.12)3 - 1] x 100%
= 0.404928 x 100% = 40.4928%
Correct Answer: 12320 cm3
Explanation:
Given, r = 7 cm, h = 80 cm
Volume = ?r2h = (22/7) x 7 x 7 x 80
= 12320 cm3
Correct Answer: 2068 sq cm
Explanation:
Total surface area of cylinder = 2?r(h + r)
Given that, r = 14/2 = 7 cm, h = 40 cm
? Required total surface area = 2 x (22/7) x 7 x (40 + 7)
= 44 x 47 = 2068 sq cm
Correct Answer: 3 cm
Explanation:
Given, lateral surface area = 94.2 sq cm
? 2?rh = 94.2
? r = 94.2/(2?h) = 94.2/(2 x 3.14 x 5) = 3 cm
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