What is the answer to this problem

PtichkaEL [24]

Answer:

$\text{Volume of prism made by }\Delta XYZ=2304\text{ in}^3$

Step-by-step explanation:

Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.

Let us find the proportion between the sides of both triangles.

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{24}{36}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{12*2}{12*3}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{2}{3}$

Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.

So we can set proportion for volume of both prisms as:

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=(\frac{2}{3})^3$

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=\frac{8}{27}$

Upon substituting volume of prism made by triangle PQR we will get,

$\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{in}^3}=\frac{8}{27}$

Let us multiply both sides of our equation by 7776 cubic inches.

$\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{ in}^3}*7776\text{ in}^3=\frac{8}{27}*7776\text{ in}^3$

$\text{Volume of prism made by triangle XYZ}=8*288\text{ in}^3$

$\text{Volume of prism made by triangle XYZ}=2304\text{ in}^3$

Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.

7 0

2 years ago

Who ever gets it I will give Brainly and 20 points

Marina CMI [18]

Answer:

15%

Step-by-step explanation:

You add up all the frequencies and divide by 9 (the amount 6 was rolled).

It adds up to 60. Divide 9 by 60 and you have 15%.

3 0

2 years ago

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Bas_tet [7]

Answer:

2 ( 6 x^ 3 − 30 x ^2 + 2 x − 1 )

Step-by-step explanation:

6 0

3 years ago

Pat wants to create s rectangular playpen for her dogs in her backyard. And estimates the dogs will need 600 square feet. She al

Ira Lisetskai [31]

I found width=13.72 ft and length=43.72 ft.
Call one dimension of the rectangle x, the other will be x+30
You want an area A=600 ft^2 but A=length x width=x*(x+30)=600
Rearranging you get:
$x^{2} +30x-600=0$
solving this quadratic equation you get a negative solution and a positive one that gives your result.

8 0

3 years ago

What conclusion can be made based on this multiplication problem?

Mademuasel [1]

Answer: Your answer is D

Step-by-step explanation: pls mark me as brainiest and 7 x 3 = 21 or 21 / 3 = 7

4 0

2 years ago