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Find the volume of a pyramid whose square base is 10 cm and height 8 cm
By BYJU'S Exam Prep
Updated on: September 25th, 2023
In order to find the volume of a pyramid whose square base is 10 cm and height 8 cm, you must know the formula for the volume of a pyramid. A pyramid is a three-dimensional shape that is characterized by a polygonal base and triangular faces that meet on a point at the top known as the apex. Determining the volume of a pyramid involves knowing the measurements of its base and height. This calculation is essential to understand the amount of space occupied by the pyramid.
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Steps to Calculate the Volume of Pyramid
The volume of a pyramid is given by the formula = (1/3) x base area x height
Since the base is a square with side length 10 cm, we need to find out its area using the formula = side x side
So, area of square base is 10 x 10 = 100 cm²
Substituting the given values, we get:
Volume = (1/3) x base area x height
= (1/3) x 100 cm² x 8 cm
= 800/3 cm³
= 266.67 cm³
Therefore, the total volume of a pyramid is 266.67 cm³.
Summary:
Find the volume of a pyramid whose square base is 10 cm and height 8 cm
The volume of a pyramid whose square base is 10 cm and height 8 cm is 266.67 cm³. The volume of a pyramid is the measure of the amount of space inside the pyramid. It represents the three-dimensional space occupied by the pyramid and is usually measured in cubic units such as cubic centimeters, cubic meters, etc.
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