Volume Questions for Class 5

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 = 

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 = 

 = 21m