Math, asked by sanu71, 1 year ago

The dimensions of an almirah are 1m×60cm×2m. It has been divided in 4 compartments partitioned by three shelves made of 4 cm thick wood.what is the volume of each compartment?

Answers

Answered by nova5
13
first we convert cm into m
60/100=0.60m
volume= 1*2*0.6
volume =1.2m2
volume of one compartment =1.2/4
0.3m2
Answered by pinquancaro
54

Answer:

The volume of each compartment is 0.282 cubic meter.

Step-by-step explanation:

Given : The dimensions of an almirah are 1m×60cm×2m. It has been divided in 4 compartments partitioned by three shelves made of 4 cm thick wood.

To find : What is the volume of each compartment?

Solution :

The dimensions of an almirah are 1m×60cm×2m.

Convert, cm into m

1m=100cm

1 cm=0.01 m

60 cm=0.6 m

The volume of the almirah is

V=l\times b\times h

V=1\times 0.6\times 2

V=1.2m^3

If 4 partitions are made in the direction of height with three shelves of 4 cm thick,

4cm =0.04m

The height of the compartment is

 h=\frac{2-(3\times0.04)}{4}\\\\h=\frac{1.88}{4}\\\\h=0.47cm

Dimension of each compartment is 1\times 0.6\times 0.47

 Volume of each compartment is

V=l\times b\times h

V=1\times 0.6\times 0.47

V=0.282m^3

Therefore, The volume of each compartment is 0.282 cubic meter.

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