24. The side lengths of Cube A are 3 times the side length of Cube B. The side lengths of Cube B are half the side
lengths of Cube C. Select the correct values to complete
the following statements.
a. The surface area of Cube A is
times the surface area of
Cube B.
b. The volume of Cube A is
times the volume of Cube B.
c. The volume of Cube B is
the volume of Cube C.
d. The surface area of Cube B is
the surface area of Cube C.

addition

step-by-step explanation:

don't report but were is the digram

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)