Which best compares the volumes of pyramid X and pyramid Y?

Two pyramids X and Y kept apart a distance of 10cm from the its center points. The pyramid X has a square base with base length of 5 cm, base width of 6cm and makes a 90 degree angle with the pyramid height. A pyramid Y has a triangular base with 2 sides measuring 7.5 cm and 8 cm respectively.

A. The volumes of X and Y are equivalent.
B. The volume of X is half the volume of Y.
C. The volume of Y is half the volume of X.
D. The volume of X is 10 times the volume of Y.

Hey, did you ever get the answer to this one??

Step-by-step explanation:

A. The volumes of X and Y are equivalent.

Step-by-step explanation:

FORMULA: 1/3Bh

X:

First find the base area: B= (5)(6)

= 30

Substitute the values for B and h in the formula of the volume of a pyramid.

V= 1/3 Bh

=1/3 (30)(10)

V=100

Y:

Use the triangle Formula to find the base: 1/2 (7.5)(8)= 30

Use the Volume Formula for the Pyramid: 1/3 (30)(10)

V= 100

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3