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?
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.
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.
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 `m^3` of air?
A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm2, at the rate of 16 km per hour. How much the level of the water rises in the tank in 45 minutes.
Water in a rectangular reservoir having base 80 m by 60 m i s 6.5 m deep. In what time can the water be emptied by a pipe ôf which the cross-section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km/hr.
The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm3, then find its dimensions
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 surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is ______.
A truck carrying 7.8 m3 concrete arrives at a job site. A platform of width 5 m and height 2 m is being contructed at the site. Find the length of the platform, constructed from the amount of concrete on the truck?
