Advertisements
Advertisements
प्रश्न
A cube whose volume is 1/8 cubic centimeter is placed on top of a cube whose volume is 1 cm3. The two cubes are then placed on top of a third cube whose volume is 8 cm3. The height of the stacked cubes is
विकल्प
3.5 cm
3 cm
7 cm
none of these
Advertisements
उत्तर
Let,
V1.V2,V3 → Volumes of the three cubes
a1,a2,a3 → Sides of the three cubes
We know that,
a3 = V
So,
`a_1^3 = V_1`
`a_1^3 = 1/8`
`a_1 = 1/2 cm`
Similarly,
`a_2^3 = 1`
a2 = 1 cm
And;
`a_3^3 = 8`
a2 = 2 cm
So the height of the resulting structure,
`=1/2+1+2`
= 0.5 + 1 + 2
= 3.5 cm
The height of the structure is 3.5 cm .
APPEARS IN
संबंधित प्रश्न
Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block
covered with coloured paper with picture of Santa Claus on it. She must know the exact
quantity of paper to buy for this purpose. If the box has length, breadth and height as 80
cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would
she require?
A cuboidal block of silver is 9 cm long, 4 cm broad and 3.5 cm in height. From it, beads of volume 1.5 cm3 each are to be made. Find the number of beads that can be made from the block.
How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick?
An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.
Show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume.
The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m × 1.5 m and 10 windows each of size 1.5 m × 1 m. If the cost of white-washing the walls of the hall at the rate of Rs 1.20 per m2 is Rs 2385.60, fidn the breadth of the hall.
The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?
The surface area of a cuboid is 1300 cm2. If its breadth is 10 cm and height is 20 cm2, find its length.
The volume of a cuboid is 7.68 m3. If its length = 3.2 m and height = 1.0 m; find its breadth.
Find the height of the cylinder whose radius is 7 cm and the total surface area is 1100 cm2.
