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.
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
Find the volume of a cube whose side is 1.5 dm .
Find the volume in cubic decimetre of the cube whose side is 75 cm.
Fill in the blank in the following so as to make the statement true:
1 ml = ........ cu. cm
Find the surface area of a cube whose edge is 3 cm.
Find the surface area of a cube whose edge is 6 m .
Three equal cubes are placed adjacently in a row. Find the ratio of the total surfaced area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
When the length of each side of a cube is increased by 3 cm, its volume is increased by 2457 cm3. Find its side. How much will its volume decrease, if the length of each side of it is reduced by 20%?
If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be
The volume of a cube is 64 cm3. Its surface area is ______.
A cube of side 3 cm painted on all its faces, when sliced into 1 cubic centimetre cubes, will have exactly 1 cube with none of its faces painted.
