**1) Suppose a Man Collected the Rainwater in a Rectangular Container of Length 12 cm and Width 15 cm. If the Depth of the Rainfall Was 0.5 m. Calculate the Volume of the Rainwater Collected on the Container.**

Step 1:

The formula to calculate the area of the rectangle is

Area = Length × Width.

Substitute 12 cm for length and 15 cm for width in the formula and then multiply to get the area.

Area of the container = 12 cm × 15 cm

= 180 sq. cm.

Step 2:

The depth of the rainfall = 0.5 m

The relation between centimetre and meter is 1 m = 100 cm.

Multiply 0.5 m by 100 to convert it to the equivalent centimetres.

0.5 × 100 = 50 cm.

Step 3:

The formula to calculate the volume of the rainfall is:

Volume = Area × Depth of the rainfall

= 180 sq. Cm × 50 Cm

= 9000 cu. Cm.

Therefore, the volume of the rainwater collected is 9,000 cu. Cm.

**2) Ritu Collected 105 cu. M of Rainwater in an Area of 50,000 sq. Cm Container. Calculate the Depth of the Rainfall.**

Step 1:

The area and volume are in different units. Therefore, we will first

convert the unit of the area to square m. We know that 1 m = 100 cm.

Therefore, to convert sq. cm to sq. m, we divide it by 10000.

Divide 50,000 by 10000 to convert 50,000 sq. cm to the equivalent sq. m.

50,000 ÷ 10000 = 5

Therefore, 50000 sq. cm = 5 sq. m.

Step 2:

The formula to calculate the volume of the rainwater is:

Volume = Area × Depth of the rainfall

From it follows that:

Depth of the rainfall =

VolumeArea

Substitute 105cu. m for volume and 5sq. m for Area in the formula and then divide to get the depth of the rainfall.

Depth of the rainfall =

105cu.m5sq.m

= 21m

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