
The area of a rectangular stage is 750 sq. m. if its height is 1.5 m, find its volume
Answer
594.9k+ views
Hint:
Finding the volume of an object can help us to determine the amount required to fill that object, like the amount of water needed to fill a bottle, an aquarium or a water tank.
The volume of an object is measured in cubic units such as cubic centimeters, cubic inch, cubic foot, cubic meter, etc. Here, for example, the volume of the cuboid or rectangular prism, with unit cubes has been determined in cubic units.
Complete step by step solution:
Given Area of a rectangular stage
= base area (b)
= \[{\bf{750}}\;\]square meters
Height (h) = \[{\bf{1}}.{\bf{5}}\;{\bf{m}}\]
Volume of the stage (V) = \[{\bf{base}}\;{\bf{area}}\; \times \;{\bf{height}}\]
= \[{\bf{750}}\;{\bf{sq}}.{\bf{m}}\; \times \;{\bf{1}}.{\bf{5}}\;{\bf{m}}\]
Volume of the stage = \[1125m^3\]
Therefore, we get
Volume of the stage (V) = \[{\bf{1125m}}^3\]
Note:
The basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'. The important thing is that the three dimensions are multiplied together. You can multiply in whichever order you like as it won't change the answer.
Finding the volume of an object can help us to determine the amount required to fill that object, like the amount of water needed to fill a bottle, an aquarium or a water tank.
The volume of an object is measured in cubic units such as cubic centimeters, cubic inch, cubic foot, cubic meter, etc. Here, for example, the volume of the cuboid or rectangular prism, with unit cubes has been determined in cubic units.
Complete step by step solution:
Given Area of a rectangular stage
= base area (b)
= \[{\bf{750}}\;\]square meters
Height (h) = \[{\bf{1}}.{\bf{5}}\;{\bf{m}}\]
Volume of the stage (V) = \[{\bf{base}}\;{\bf{area}}\; \times \;{\bf{height}}\]
= \[{\bf{750}}\;{\bf{sq}}.{\bf{m}}\; \times \;{\bf{1}}.{\bf{5}}\;{\bf{m}}\]
Volume of the stage = \[1125m^3\]
Therefore, we get
Volume of the stage (V) = \[{\bf{1125m}}^3\]
Note:
The basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'. The important thing is that the three dimensions are multiplied together. You can multiply in whichever order you like as it won't change the answer.
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