Answer:
The volume of the pyramid is 16 cm³.
Step-by-step explanation:
The volume of squared-base pyramid is given by the formula:
Here,
V = volume of the squared-base pyramid
A = area of the square base
<em>h</em> = height of the pyramid.
The information provided is:
<em>a</em> = side of square = 4 cm
<em>h</em> = 3 cm
Compute the area of the square base as follows:
Compute the volume of squared-base pyramid as follows:
Thus, the volume of the pyramid is 16 cm³.
Answer:
Step-by-step explanation:
<h3>1.</h3>The given expression expression can be simplified to ...
3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)
= log(1000/25) = log(40) . . . . ≠ log(5)
≈ 1.60206
Or, it can be evaluated directly:
= 3(1) -2(0.69897) = 3 -1.39794
= 1.60206
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<h3>2.</h3>The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...
ln(x) = log(x)/log(e) ≈ 2.302585·log(x)
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<h3>3.</h3>The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:
Numerical evaluation of Mr. Kim's expression would prove him wrong.
log(3)log(4) = (0.47712)(0.60206) = 0.28726
log(7) = 0.84510
0.28726 ≠ 0.84510
log(3)log(4) ≠ log(7)