
Find the volume of a square based right prism whose base is 9 cm and height is 12 cm.
Answer
534.3k+ views
Hint: Find the area of the prism, which is equal to the area of the square. To find the volume, take the product of base area and height.
Complete step-by-step answer:
A square based right prism can also be called a right square prism. It is a box with at least one pair of opposite faces that are square. It can also be desired as a right prism with square bases. A right square prism which has a square lateral surface is a cube.
We can see the figure of a right square prism.
Let us consider ‘a’ as the side of the square. We have been given the side as 9 cm
Side of square
Similarly, let us take height as ‘h’ marked in the figure i.e., .
Now, Area of base of the prism Area of the square
i.e., Area of the base of the prism
The volume of right prism
Hence, we got the volume of the right square prism as .
Note: The volume of the right square prism , which is a general formula.We can use it directly without thus much calculations. The lateral surface area of the same is given as .
Complete step-by-step answer:
A square based right prism can also be called a right square prism. It is a box with at least one pair of opposite faces that are square. It can also be desired as a right prism with square bases. A right square prism which has a square lateral surface is a cube.
We can see the figure of a right square prism.

Let us consider ‘a’ as the side of the square. We have been given the side as 9 cm
Similarly, let us take height as ‘h’ marked in the figure i.e.,
Now, Area of base of the prism
i.e., Area of the base of the prism
The volume of right prism
Hence, we got the volume of the right square prism as
Note: The volume of the right square prism
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