Although part of your question is missing, you might be referring to this full question: The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid. Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
The answer to the given question is 9/16. The fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid is 9/16.
<h3>What is Area in Mathematics?</h3>Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. We measure area in square units (cm² or m²). Area is calculated by multiplying the length of a shape by its width.
The ratio of areas of 2 similar squares is the square of the ratios of their similar side lengths. Since the ratio of the smaller side length to the larger side length is 3/4, then the ratio of areas of two similar squares is:
(3/4) ² = 3²/4² = 9/16.
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The volume of the pyramid is 167.6 cube inch (approx).
Step-by-step explanation:
Given,
Each length (l) of the base of the pyramid = 8.3 in
Height(h) of the pyramid = 7.3 in
To find the volume of the pyramid.
Formula
Volume of the pyramid = ×area of the base×height
Area of the base = l²
Now,
The volume of the pyramid = ×l²×h
= ×8.3²×7.3 cube inch = 167.6 cube inch (approx)