Question

An equal number of cube(s) of the largest size are cut out from the given cuboid. The ratio of the maximum possible increase in
surface area to the initial surface area is:
​

Answer 1

Answer:

136/575 IS THE REQUIRED RATIO

STEP BY STEP EXPLANATION:

Lets find out number of cubes first .

For this we need to know HCF .

firstly by prime factorisation, we get:

8=2 x 2 x 2 ×1

4=2×2×1

3=3×1

since,

only 1 is common.

let's take side of cube be =1

surface area of cube = (6 × side²)=. 6×1 = 6m²

surface area of cuboid =(2(lb+bh+lh))

=2(24+32+12)

=2 × 68

=136 m²

• number of cubes= volume of cuboid /volume of cubes

=8×4×3/1×1×1

=96

• Surface area of 9y cubes =96×6cm

=575m

∴ Required ratio = 136/575

(#SPJ1)