Question

The volume of a container is 0.9m³.If it is 50 cm long and 120 cm wide,then find its depth.

Answer 1

The depth of a container is 150 cm.

Step-by-step explanation:

Given, volume of a container = 0.9 $m^{3}$

1 cm = $\frac{1}{100}$ m

Length of a container = L = 50 cm = 50 x $\frac{1}{100}$ m = 0.5 m

Width of a container = W = 120 cm = 120 x $\frac{1}{100} m$ = 1.2 m

Let depth of a container = H

Volume = 0.9 $m^{3}$

=> L x W x H = 0.9

=> 0.5 x 1.2 x H = 0.9

=> 0.6 x H = 0.9

=> H = $\frac{0.9}{0.6}$ = 1.5 m = 1.5 x 100 cm = 150 cm

Hence, the depth of a container is 150 cm.

Answer 2

Step-by-step explanation:

The depth of a container is 150 cm.

Step-by-step explanation:

Given, volume of a container = 0.9 m^{3}m

3

1 cm = \frac{1}{100}

100

1

m

Length of a container = L = 50 cm = 50 x \frac{1}{100}

100

1

m = 0.5 m

Width of a container = W = 120 cm = 120 x \frac{1}{100} m

100

1

m = 1.2 m

Let depth of a container = H

Volume = 0.9 m^{3}m

3

=> L x W x H = 0.9

=> 0.5 x 1.2 x H = 0.9

=> 0.6 x H = 0.9

=> H = \frac{0.9}{0.6}

0.6

0.9

= 1.5 m = 1.5 x 100 cm = 150 cm

Hence, the depth of a container is 150 cm.