Discussion
Home ‣ Aptitude ‣ Volume and Surface Area Comments
- Question
- The surface area of a cube is 726 sq cm. Find the volume of the cube.?
Options- A. 1331 cm3
- B. 1232 cm3
- C. 1626 cm3
- D. 1836 cm3
- Correct Answer
- 1331 cm3
ExplanationAccording to the question,
6a2 = 726 [a = edge of the cube]
? a2 = 726/6 = 121
? a = ?121 = 11 cm
? Required volume = a3 = 113 = 1331 cm3 - 1. Find the surface area of a cuboid 10 m long, 5 m broad and 3 m high?
Options- A. 105 sq m
- B. 104 sq m
- C. 170 sq m
- D. 190 sq m Discuss
- 2. If the volume of a cube is 729 cu cm, what is the length of its diagonal?
Options- A. 9?2 cm
- B. 9?3 cm
- C. 18 cm
- D. 18?3 Discuss
- 3. If the total surface area of a cube is 6 sq units, then what is the volume of the cube?
Options- A. 1 cu unit
- B. 2 cu units
- C. 4 cu units
- D. 6 cu units Discuss
- 4. The diagonal of a cube is 2? 3 cm. Find the surface area of the cube.
Options- A. 15 sq cm
- B. 18 sq cm
- C. 25 sq cm
- D. 24 sq cm Discuss
- 5. A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the cone, then the height of the cylinder is?
Options- A. 2h
- B. 4h
- C. 2h/3
- D. 3h/2 ?r2 x 5 Discuss
- 6. The volume of a cuboid is 1989 cm 3 , while its length and breadth are 17 cm and 13 cm, respectively, Find the height of the cuboid.?
Options- A. 9 cm
- B. 4 cm
- C. 14 cm
- D. 7 cm Discuss
- 7. Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube.?
Options- A. 243 sq cm
- B. 463 sq cm
- C. 486 sq cm
- D. 293 sq cm Discuss
- 8. The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm x 6 cm x 2 cm, is?
Options- A. 2?13 cm
- B. 2?14 cm
- C. 2?26 cm
- D. 10?2 cm Discuss
- 9. Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm.?
Options- A. 12
- B. 13
- C. 15
- D. 17 Discuss
- 10. A metal box measures 20 cm x 12 cm x 5 cm. Thickness of the metal is 1 cm. Find the volume of the metal required to make the box.?
Options- A. 550 cm3
- B. 656 cm3
- C. 660 cm3
- D. 475 cm3 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 190 sq m
Explanation:
Given that, l = 10 m , b = 5 m, h = 3 m
lb = 10 x 5 = 50, bh = 5 x 3 = 15,
lh = 10 x 3 = 30
? Surface area of a cuboid
= 2(lb + bh + lh)
= 2(50 + 15 + 30)
= 2 x 95 = 190 sq m
Correct Answer: 9?3 cm
Explanation:
Volume of cube = (Side)3
? 729 = a3
? a = 9 cm
Diagonal of cube = side x ?3 = 9 x ?3
= 9?3 cm
Correct Answer: 1 cu unit
Explanation:
Total surface area of a cube = 6a2
? 6 = 6a2
? a2 = 1
? a = 1
Now, volume of the cube = a3 = 13 = 1 cu unit
Correct Answer: 24 sq cm
Explanation:
Given, diagonal = 2?3
? a?3 = 2?3 [a = edge of the cube]
? a = 2
? Required surface area = 6a2
= 6 x 22 = 24 sq cm
Correct Answer: 2h/3
Explanation:
Let the height of the cylinder be H and its radius = r
Then, (?r2 H) + (1/3) x (?r2h) = 3 x (1/3)?r2h
? ?r2H = (2/3)?r2h
? H = 2h/3.
Correct Answer: 9 cm
Explanation:
Volume = 1989
? lbh = 1989
? 17 x 13 x h = 1989
? h = 1989/(17 x 17) = 9 cm
Correct Answer: 243 sq cm
Explanation:
Volume (new cube) = (13 + 63 + 83 ) = 729 cm3
a3 = 729
? a = ? 729
? Surface area of the new cube = 6a2
= 6 x 92 = 486 sq cm
Surface area/2 = 486/2 = 243 sq cm
Correct Answer: 2?26 cm
Explanation:
Length of largest pencil that can be kept in a box
= Diagonal of box = ?l2 + b2 + h2
where, l = 8 cm, b = 6 cm , h = 2 cm
= ?64 + 36 + 4
= ?104 = 2?26
Correct Answer: 13
Explanation:
Volume of rectangular box = 10 x 8 x 6 = 480 cm3
Volume of cubes = 6240 cm3
? Required boxes = Volume of cubes / Volume of rectangular box
= 6240/480 = 13
Hence, 13 boxes are needed.
Correct Answer: 660 cm3
Explanation:
External volume = 20 x 12 x 5 = 1200 cm3
Internal volume = (20 - 2) x (12 - 2) x (5 - 2)
= 18 x 10 x 3 = 540 cm3
? Volume of the metal = External volume - Internal volume
= 1200 - 540 = 660 cm3
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