Advertisements
Advertisements
Question
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
Advertisements
Solution
Let the length of a chocolate be 5x, the breadth of a chocolate be 4x, and the height of a chocolate be 3x.
Volume of a chocolate = 7500 cm3
l × b × h = 7500
5x × 4x × 3x = 7500
5 × 4 × 3 × x3 = 7500
x3 = `7500/(5 xx 4 xx 3)`
x3 = 125
⇒ x3 = 53
x = 5
∴ Length of a chocolate = 5 × 5 = 25 cm
Breath of a chocolate = 4 × 5 = 20 cm
Height of a chocolate = 3 × 5 = 15 cm
APPEARS IN
RELATED QUESTIONS
A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.
The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm x 3 cm x 0.75 cm can be put in this box?
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.
A child playing with building blocks, which are of the shape of the cubes, has built a structure as shown in Fig. 18.12 If the edge of each cube is 3 cm, find the volume of the structure built by the child.
Find the volume of a cuboid whose dimensions are length = 12 cm, breadth = 8 cm, height = 6 cm
Find the volume of a cuboid whose dimensions are length = 60 m, breadth = 25 m, height = 1.5 m
The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes
The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres
How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?
A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.
 |
 |
