Advertisements
Advertisements
प्रश्न
Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.
Advertisements
उत्तर
Let the length of each edge of the new cube be a cm
Then,
`a^3=(6^3+8^3+10^3)cm^3`
`⇒ a^3= 1728`
`⇒ a = 12`
∴ Volume of new cube=`=a^3=1728cm^3`
Surface area of the new cube `6a^2=6xx12^2cm^2`
`= 864 cm^2`
Diagonals of the new cube = `sqrt(3a)= 12 sqrt3cm.`
APPEARS IN
संबंधित प्रश्न
Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs 30 per m3.
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that
`V^2` = `xyz`
Half cubic meter of gold-sheet is extended by hammering so as to cover an area of 1 hectare. Find the thickness of the gold-sheet.
How many cubic centimeters of iron are there in an open box whose external dimensions are 36 cm, 25 cm and I 6.5 cm, the iron being 1.5 cm thick throughout? If I cubic cm of iron weighs 15g, find the weight of the empty box in kg.
A godown measures 40m × 25 m × 10 m. Find the maximum number of wooden crates each measuring 1.5 m
× 1.25 m × 0.5 m that can be stored in the godown.
To make an open fish tank, a glass sheet of 2 mm gauge is used. The outer length, breadth and height of the tank are 60.4 cm, 40.4 cm and 40.2 cm respectively. How much maximum volume of water will be contained in it?
The volume of a container is 1440 m3. The length and breadth of the container are 15 m and 8 m respectively. Find its height
The volume of a cuboid is 660 cm3 and the area of the base is 33 cm2. Its height is
Ramesh has three containers.
- Cylindrical container A having radius r and height h,
- Cylindrical container B having radius 2r and height 1/2 h, and
- Cuboidal container C having dimensions r × r × h
The arrangement of the containers in the increasing order of their volumes is
