CRE 1 - Basics | Geometry - Mensuration
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A cuboid has its length, breadth and height as 5 cm, 4 cm and 3 cm respectively. Find its lateral surface area (in sq cm).
Solution
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ReportA prism has a square base whose side is 5 cm. Its height is 8 cm. Find its total surface area (in sq cm).
- (a)
240
- (b)
312
- (c)
210
- (d)
440
What is the volume of a cylinder which has a lateral surface area 40π cm2 and height 5 cm?
- (a)
40π cm3
- (b)
80π cm3
- (c)
120π cm3
- (d)
200π cm3
A pyramid has a slant height of 5 cm and a square base of side 5 cm. Find its lateral surface area (in sq cm).
Find the total surface area of a hemisphere with radius 14 cm.
- (a)
294π
- (b)
1176π
- (c)
588π
- (d)
None of these
Eight solid metal spheres with same radii are melted and recast into a sphere without losing any metal. What is the percentage change in the total surface area of the solid?
- (a)
100%
- (b)
20%
- (c)
25%
- (d)
50%
A cone is made of a sector with a radius of 21 cm and an angle of 600. What is total surface area of the cone?
- (a)
269.5 cm2
- (b)
291.87 cm2
- (c)
256.5 cm2
- (d)
None of these
A right circular cone is cut parallel to its base at half its height. Find the ratio of the volume of the frustum formed and that of the original cone.
- (a)
7 : 8
- (b)
1 : 2
- (c)
1 : 8
- (d)
1 : 3
A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 12 feet, and the sum of the lengths of the painted sides is 32 feet, find out the area of the parking space in square feet?
- (a)
160 sq. ft.
- (b)
120 sq. ft.
- (c)
100 sq. ft.
- (d)
144 sq. ft.
An iron sheet of 221 cm × 218 cm × 1 cm dimension is molten. A sphere and a cube are formed from the molten material. If the side of cube and radius of the sphere formed are equal, then what is the radius of the sphere (in cm)?