If the volume of the pyramid shown is 360 inches cubed, what is its height?

Mathematics

1 answer:

dimaraw [331]3 years ago

4 0

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is $V = \frac{1}{3}(l*w*h)$

Here we have volume (V), base (L), and width (W)
V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H
Then we need to divide both sides by (L×W) to get: $\frac{3V}{lw} =h$

Now we can plug in the given values:

$\frac{3(360in^{3}) }{(12 in)(10in)} =\frac{1080in^{3} }{120in^{2} } = 9in$
The height is 9 inches

You might be interested in

Help!!!!!!!!!!!!!!!!!!!!

yaroslaw [1]

<h2>Answer:</h2><h2>x=3 </h2><h2>p=3csc (β)sec(θ)</h2><h2>hope this helps! ;)</h2>

6 0

2 years ago

A video game randomly chooses your car color and type. The probability of getting a red car is 0.25, and the probability of gett

EleoNora [17]

In probability 2 events are independent if the occurrence of 1 event does not affect the occurrence of the other event. Mathematically, if event A and event B are independent, then $P(A\&B)=P(A)\times P(B)$ . For our two events in this problem we have that $P(A)=0.25$ and $P(B)=0.40$ . If these two events are independent, then we should have that,