Question

2. A wooden cube with volume 64 is sliced in half horizontally. The two halves are then glued together to form a rectangular solid which is not a cube. What is the surface area of this new solid? A.128 B. 112 C. 96 D. 56

Answer 1

we have that

the volume of the cube is equal to

V=b^3

64=b^3

b^3=4^3

b=4 unit

see the attached figure

the surface area of the new figure is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height

we have

B=4*8=32 unit2

P=2(4+8)=24 unit

H=2 unit

so

SA=2(32)+24*2

SA=64+48

SA=112 unit2

the answer is option B