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AN SOMEONE PLEASE HELP ME SOLVE THIS!!
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.

(A)What is the scale factor from ∆PQR to ∆XYZ?

(B) 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.

(C) 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.

AN SOMEONE PLEASE HELP ME SOLVE THIS An architect is planning to make two triangular prisms out of iron The architect will use PQR for the bases of one prism an class=

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musiclover10045

A) Scale factor:

Divide 2 congruent sides:

24 / 36 = 0.667

From PQR to XYZ is a 0.667  (2/3 as a fraction) scale factor.

B) Volume = (1/2 x base x side) x height:

Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.

C) Find the height of the prism:

7776 = (1/2 * base * sides) x height

7776 = (1/2 x 36 x 48) * height

7776 = 864 * height

Height = 7776 / 864 = 9 inches.

The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.

Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.

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