Question

A cuboid is cut along the diagonal to make two identical solids as shown in the figure. What is the
volume of each new part?
(A) 96 cm³
(C) 224 cm³
(B) 144 cm³
(D) 264 cm³​

Answer 1

Given, A solid cube is cut at middle to make two make two cuboids.

Let the side of the cube be a and it is cut at middle. So breadth of newly formed cuboids is (a/2), length isa, height is a.

Total surface area of cube=6a

2

Total surface area of cuboids = Surface area of cuboid

=2(lb+bh+lh)

=2(

2

a

×a+a×a+

2

a

×a)

=4a

2

Ratio of total surface area of cube to cuboid =

4a

2

6a

2

=3:2