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3 years ago

How do you find volume using V = BH

Mathematics

2 answers:

larisa86 [58]3 years ago

8 0

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$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

How do you find volume using V=BH?

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

In the formula $\sf{V=BH}$ ,

$\bold{V\:stands\:for\:Volume}$

$\textbf{B stands for base}$

$\textbf{H stands for Height}$

This formula says that in order to find the volume we need to multiply the base times the height.

<em>Example:-</em>

<em />

Let's say we have a prism with a base of 4 and a height of 3. What is its volume?

According to the formula, we need to multiply the base times the helght as follows:-

$\bold{V=BH}$

$\bold{V=(4)(3)}$

On simplification,

$\bold{V=12}$ units cubed

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gtnhenbr [62]3 years ago

4 0

It depends on what shape you are trying to find the volume of, but Volume= Base x Height or V=(Base)(Height)

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Consider the vectors Bold uuequals=left angle 4 comma 0 right angle4,0 and Bold vvequals=left angle negative 3 comma negative 3

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Answer:

Angle between the two vectors is 135°

u•v = -12

Step-by-step explanation:

Given two vectors u = (4,0) and v = (-3,-3).

To find the angle between the two vectors we will use the formula for calculating the angle between two vectors as shown;

u•v = |u||v|cos theta

cos theta = u•v/|u||v|

theta = arccos (u•v/|u||v|)

u•v = (4,0)•(-3,-3)

u•v = 4(-3)+0(-3)

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|v| = √(-3)²+(-3)²

|v| = √9+9

|v| = √18

|v| = 3√2

|u||v| = 4×3√2 = 12√2

theta = arccos(-12/12√2)

theta = arccos(- 1/√2)

theta = -45°

Since cos is negative in the second quadrant, theta = 180-45°

theta = 135°

To get u•v using the formula u•v = |u||v|cos theta

Given |u||v| = 12√2 and theta = 135°

u•v = 12√2cos 135°

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u•v = -12

For the diagram of the vectors, find it in the attachment below.

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