The volume of a cube is 2744 cm3. Its surface area is
A. 196 cm2
B. 1176 cm2
C. 784 cm2
D. 588 cm2
Given: volume of a cube is 2744 cm3.
We know that the Volume of a cube is given by: a3 (here ‘a’ is edge length of cube)
∴ a3 = 2744
⇒ a = ∛ 2744
⇒ a =14cm
∴ Edge length of the cube is 14cm.
Surface area of a cube is given by: 6a2 (here ‘a’ is the edge length)
Let ‘S’ be the surface area of the given Cube.
∴ S = 6a2
⇒ S = 6 × (14)2
⇒ S = 1176 cm2
∴ Surface area of the given cube is 1176 cm2
Rate this question :
From a solid cylinder of height 2.8 cm and diameter 4.2 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid. .RD Sharma - Mathematics
A solid wooden toy is in the form of a hemisphere surmounted by a cone of same radius. The radius of hemisphere is 3.5 cm and the total wood used in the making of toy is . Find the height of the toy. Also, find the cost of painting the hemispherical part of the toy at the rate of ` 10 per cm2.RD Sharma - Mathematics
A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. Find the area of canvas required for the tent.RD Sharma - Mathematics
If the total surface area of a solid hemisphere is 462 cm2, find its volume.RD Sharma - Mathematics
A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied out on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.RD Sharma - Mathematics
The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into a cone of height 28 cm. Find the diameter of the base of the cone so formed .RD Sharma - Mathematics
504 cones, each of diameter 3.5 cm and height of 3 cm, are melted and recast into a metallic sphere.
Find the diameter of the sphere and hence find its surface area. (Use π = 22/7)Mathematics - Board Papers
Two cubes each of volume 27 cm3 are joined end to end to form a solid. Find the surface area of the resulting cuboid.Mathematics - Board Papers
The volume of a hemisphere is 19404 cm3. The total surface area of the hemisphere isRS Aggarwal - Mathematics