A container with a 15 - cm square base and a height of 12 cm is filled with sand to a depth of 8 cm.756cm cubic of sand is then added to it.What is the total volume of sand in the container?
Answers
Given:
The dimensions of the container:
Side of the square base = 15 cm
Height = 12 cm
The depth to which the sand is filled = 8 cm
Volume of sand added to the container = 756 cm³
To find:
The total volume of sand in the container
Solution:
At first the sand is filled to a depth of 8 cm
∴ The initial volume of sand in the container will be,
= [Area of the base of the container] × [Height]
= [side²] × [height]
= 15² × 8
= 1800 cm³
Then 756 cm³ of sand is added again to the container
∴ The total volume of sand in the container will be,
= [ initial volume of sand in the container] + [volume of sand added again]
= 1800 cm³ + 756 cm³
= 2556 cm³
Thus, the total volume of sand in the container is 2556 cm³.
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