Advertisements
Advertisements
प्रश्न
The edges of three cubes of metal are 3 cm, 4 cm, and 5 cm. They are melted and formed into a single cube. Find the edge of the new cube.
Advertisements
उत्तर
Volume of melted single cube = 33 + 43 + 53 cm3
= 27 + 64 + 125 cm3
= 216 cm3
Let a be the edge of the new cube.
Volume = 216 cm3
a3 = 216
a3 = 63
a = 6 cm
Therefore, 6 cm is the edge of cube.
APPEARS IN
संबंधित प्रश्न
Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
Find the surface area of a cube whose edge is 6 m .
Total surface area of a cube is 864 sq.cm. Find its volume.
The square on the diagonal of a cube has an area of 1875 sq. cm. Calculate:
(i) The side of the cube.
(ii) The total surface area of the cube.
The internal length, breadth, and height of a box are 30 cm, 24 cm, and 15 cm. Find the largest number of cubes which can be placed inside this box if the edge of each cube is
(i) 3 cm (ii) 4 cm (iii) 5 cm
The dimensions of a solid metallic cuboid are 72 cm × 30 cm × 75 cm. It is melted and recast into identical solid metal cubes with each edge 6 cm. Find the number of cubes formed.
Also, find the cost of polishing the surfaces of all the cubes formed at the rate Rs. 150 per sq. m.
The dimensions of a rectangular box are in the ratio 4: 2 : 3. The difference between the cost of covering it with paper at Rs. 12 per m2 and with paper at the rate of 13.50 per m2 is Rs. 1,248. Find the dimensions of the box.
The base of a rectangular container is a square of side 12 cm. This container holds water up to 2 cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 224 cm3 of water overflows. Find the volume and surface area of the cube.
The lateral surface area of a cube of side 12 cm is
