Mathematics, 30.01.2020 19:57 amandathompson1

Pls 50pts

an architect is planning to make two triangular prisms out of iron. the architect will use ∆pqr for the bases of one prism and ∆xyz for the bases of the other prism.

suppose the height of the prism made by ∆pqr is 15 inches. what is the volume of the prism made by ∆pqr? remember to show your work.

suppose the volume of the prism made by ∆pqr is 7776 〖"in" 〗^3. what is the volume of the prism made by ∆xyz? remember to show your work.

Pls 50ptsan architect is planning to make two triangular prisms

Answers: 1

Show answers

Answers

Answer from: juanjuann

A. $\text{Volume of the prism made by }\Delta PQR =12960\text{ inch}^3$

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

Step-by-step explanation:

We have been given bases of two triangular prisms.

A. Since we know that volume of triangular prism is base area of the prism times height of the prism.

$\text{Volume of triangular prism}=\text{Base area* Height of the prism}$

Since base of our given prism is right triangle, so area of the base of prism will be: $\frac{1}{2}\times 48\text{ inch}\times 36\text{ inch}$

Upon substituting our given values in volume formula we will get,

$\text{Volume of the prism made by }\Delta PQR =\frac{1}{2}\times 48 \text{ inch}\times 36 \text{ inch}\times 15\text{ inch}$

$\text{Volume of the prism made by }\Delta PQR =\frac{1}{2}\times 48\times 36\times 15\text{ inch}^3$

$\text{Volume of the prism made by }\Delta PQR =24\times 36\times 15\text{ inch}^3$

$\text{Volume of the prism made by }\Delta PQR =12960\text{ inch}^3$

Therefore, volume of the prism made by triangle PQR is 12960 cubic inches.

B. Let us assume that both prism are similar, so we can use proportions to solve for the volume of 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.

Answer from: aaronhorowitz36

Volume of triangular prism = Base area* Height of the prism

Volume of the prism made by APQR = x 48 x 36 x 15 inch³

Volume of the prism made by APQR = 24 x 36 x 15 inch³

Volume of the prism made by APQR =12960in³

Answer from: Quest

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a). here, that comes to

)

x = = 1. f(1) = 1^2 - 2(1) - 8 = - 9. vertex is at (1, -9).

2(1)

find another point on the curve: let x=0, for which y=-8. then (0, -8) is on the curve. plot the vertex and this point and draw a smooth parabola thru both.

hope this

Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1 graph the parabola by first plo

Answer from: Quest

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

- r3ktforgood ☕

Another question on Mathematics

Mathematics, 21.06.2019 20:00

If the simple annual interest rate on a loan is 6, what is the interest rate in percentage per month?

Answers: 1

Answer

Mathematics, 21.06.2019 21:50

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality

Answers: 3

Answer

Mathematics, 21.06.2019 22:00

There are 3232 forwards and 8080 guards in leo's basketball league. leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards. if leo creates the greatest number of teams possible, how many guards will be on each team?

Answers: 2

Answer

Mathematics, 22.06.2019 00:50

Problem 2. find the exact value of the remaining trigonometric functions. sketch theangle 8 for each problem. (3 points each)(a) tan 0 =o is in quadrant 2

Answers: 2

Answer

You know the right answer?

Pls 50pts

an architect is planning to make two triangular prisms out of iron. the archit...

Questions

Mathematics, 15.09.2020 01:01

What is area of circle...