Advertisements
Advertisements
Question
A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.
 |
 |
Advertisements
Solution
Length of tier-1 cake = 10 cm
Breadth of the tier-1 cake = 10 cm
Height of the tier-1 cake = 5 cm
∴ Volume of the tier-1 cake = 10 × 10 × 5 = 500 cm3
Now, length of the tier-2 cake = 20 cm
Breadth of the tier-2 cake = 20 cm
Height of the tier-2 cake = 15 cm
∴ Volume of the tier-2 cake = 20 × 20 × 15 = 6000 cm3
Hence, volume of the cake = (6000 + 500) cm3 = 6500 cm3
APPEARS IN
RELATED QUESTIONS
A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes?
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?
A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water up to 1 cm from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.
A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
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?
A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, find the volume of water already used from the tank.
How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?
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
