Question

4. Find the ratio in the simplest forms of each of the following
(a) 24 to 28
(d) 2.25 to 75 P
(g) 6 hours : 1 day
(b) 18:48
(c) 25:50
(e) 3 kg 780 g to 540 g
(1) 2L 750 mL to 750 mL
(h) 1 m 20 cm :3 m 20 cm​

Answer 1

Volume of each cube = 64 cm3

∴ Total volume of the two cubes = 2 × 64 cm3

= 128 cm3

Let the edge of each cube = x

∴ x3 = 64 = 43

∴ x = 4 cm

Now, Length of the resulting cuboid l = 2x cm

Breadth of the resulting cuboid b = x cm

Height of the resulting cuboid h = x cm

∴ Surface area of the cuboid = 2 (lb + bh + hl) = 2[(2x . x) + (x . x) + (x . 2x)]

= 2[(2 × 4 × 4) + (4 × 4) + (4 × 2 × 4)] cm2

= 2 [32 + 16 + 32] cm2 = 2[80] cm2 = 160 cm2.