Find the volume of the triangular pyramid to the nearest whole number.

Mathematics

2 answers:

Tomtit [17]3 years ago

5 0

The volume of any pyramid can be defined as: $V = \frac{1}{3} Bh$ where V is volume, B is the area of the base of the pyramid, and h is the height of the pyramid.

In our problem:
B = area of the triangular Base
B = (.5)(12)(10)
B = 60

h = 17

$V= \frac{1}{3} (60)(17)$
V = 340in³
Choice B

xenn [34]3 years ago

4 0

The correct answer is B) 340 in*3
I took the test and got it correct!

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galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle