Advertisements
Advertisements
Question
A 4 cm edge cube is cut into 1 cm edge cubes. Calculate the total surface area of all the small cubes.
Advertisements
Solution
Edge of cube = 4 cm
Volume of 4 cm cube = (4 cm)3 = 64 cm3
Edge of cube = 1 cm
Volume of 1 cm cube = (1 cm)3
∴ Total number of small cubes = `(64 cm^3)/(1 cm^3) = 64`
∴ Total surface area of 64 cm all cubes
= 64 × 6 × (1 cm)2
= 384 cm2
The total surface area of all the small cubes formed by cutting the 4 cm cube into 1 cm edge cubes is 384 cm2.
RELATED QUESTIONS
Hameed has built a cubical water tank with lid for his house, with each other edge 1 .5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend for the tiles, if the cost of tiles is Rs. 360 per dozen.
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm in following figure. The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2. Find the total expenses required for polishing and painting the surface of the bookshelf.
Find the volume of a cuboid whose length =1.2 m, breadth = 30 cm, height = 15 cm.
Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm and 24 cm.
A cuboid has total surface area of 50 m2 and lateral surface area is 30 m2. Find the area of its base.
Find the edge of a cube whose surface area is 432 m2.
10 cubic metres clay is uniformly spread on a land of area 10 ares. the rise in the level of the ground is
The dimensions of a Cinema Hall are 100 m, 60 m, and 15 m. How many persons can sit in the hall if each requires 150 m3 of air?
A cube of edge 6 cm and a cuboid with dimensions 4 cm x x cm x 15 cm are equal in volume. Find:
(i) the value of x.
(ii) the total surface area of the cuboid.
(iii) the total surface area of the cube.
(iv) which of these two has a greater surface and by how much?
