Advertisements
Advertisements
प्रश्न
Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the surface area of the new cube formed.
Advertisements
उत्तर
\[\text { Three cubes of edges 3 cm, 4 cm and 5 cm are melted and molded to form a new cube } . \]
\[\text { i . e . , volume of the new cube = sum of the volumes of the three cube }s\]
\[ = (3 )^3 + (4 )^3 + (5 )^3 \]
\[ = 27 + 64 + 125\]
\[ = 216 {cm}^3 \]
\[\text { We know that volume of a cube = (side ) }^3 \]
\[ \Rightarrow 216 = \text { (side ) }^3 \]
\[ \Rightarrow \text {Side of the new cube = } \sqrt[3]{216} = 6 cm\]
\[ \therefore \text { Surface area of the new cube = 6 }\times\text { (side } )^2 = 6 \times (6 )^2 = 216 {cm}^2\]
APPEARS IN
संबंधित प्रश्न
Fill in the blank in the following so as to make the statement true:
1 kl = ........ cu. dm = ........ cu. cm.
Find the surface area of a cube whose edge is 6 m .
Find the surface area of a cube whose volume is 343 m3.
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.
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 length of a hall is double its breadth. Its height is 3 m. The area of its four walls (including doors and windows) is 108 m2, find its volume.
A cubical container of side 6.5 m is to be painted on the entire outer surface. Find the area to be painted and the total cost of painting it at the rate of ₹ 24 per m2
If the lateral surface area of a cube is 600 cm2, then the total surface area is
The areas of any two faces of a cube are equal.
The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units.
