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2 years ago

If all the dimensions of the rectangular pyramid are multiplied by 1/5, what is the effect on the volume

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

4 0

Answer:

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 125 times smaller.

Step-by-step explanation:

A rectangular pyramid has the following dimensions:

length(l), height(h) and width(w)

The volume is:

$V = \frac{l*h*w}{3}$

If all the dimensions of the rectangular pyramid are multiplied by 1/5

Then we have that:

$l = \frac{l}{5}, w = \frac{w}{5}, h = \frac{h}{5}$

The modified volume will be:

$V_{M} = \frac{\frac{l}{5}*\frac{w}{5}*\frac{h}{5}}{3} = \frac{\frac{l*w*h}{125}}{3} = \frac{l*h*w}{125*3} = \frac{1}{125}(\frac{l*h*w}{3}) = \frac{V}{125}$

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 1/125 of the original, that is, 125 times smaller.

You might be interested in

Divide 240g in the ratio 5:3:4

Nastasia [14]

Answer:

240g in the ratio of 5:3:4

So we need to divide it evenly.

First add up all the ratios.
5+3+4= 12

Now divide 240 by the sum.

240/ 12 = 20

Now you multiply that into each ratio.

5*20 = 100

3*20 = 60

4*20 = 80
Now put it back in the ratio with the new numbers int he exact order as before.

Final Answer: 100 : 60 : 80

Check:

You can check by adding them all up to see if they all go into 240 OR you can divide them each by the number originaly given and you should get 20.

100 + 60 + 80 = 240

100 / 5 = 20

60/3 = 20

80/4 = 20

5 0

2 years ago

Read 2 more answers

Find the Constant Rate of Change of the following table: k =

ValentinkaMS [17]

9514 1404 393

Answer:

Step-by-step explanation:

If there is a constant rate of change, its value will be ...

k = y/x

k = 250/25 = 10

The constant rate of change is 10.

y = 10x

8 0

3 years ago

Find the inverse of the function x2 + y2 = 4 and the domain of the inverse for 0 ≤ x ≤ 2.

alexandr402 [8]

To get the inverse "relation" of an expression, we first off, do a quick switcharoo of the variables, and then solve for "y", so let's proceed,

$\bf x^2+y^2=4\qquad inverse\implies \boxed{y}^2+\boxed{x}^2=4
\\\\\\
y^2=4-x^2\implies y=\pm\sqrt{4-x^2}$

and yes, the domain for the range 0 ⩽ x <span>⩽ 2, let's get instead the "range" of the original function,

</span> $\bf x^2+y^2=4\implies 0^2+y^2=4\implies y=\pm\sqrt{4}\implies \boxed{y=\pm 2}
\\\\\\
x^2+y^2=4\implies 2^2+y^2=4\implies 4+y^2=4\implies \boxed{y=0}\\\\
-------------------------------\\\\
\stackrel{\textit{range of original}}{-2\le y \le 2}~~=~~\stackrel{\textit{domain of its inverse}}{-2\le x \le 2}$ <span>
</span>

8 0

3 years ago

Here's the result of this question

Dafna11 [192]

We have been given that Anil borrows $80 000 to buy a business. The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where,