A solid cuboid ABCDEFGH with a rectangular base, AC = 13 cm, BC = 5cm and CH = 15cm.

Question

(a) determine the length of AB,

AB =sqt(13^2 - 5^2)
= 12 cm
(b) Calculate the surface area of the cuboid.
SA = 2(12*5+ 12*15 +5*15)
= 2(60+180 +75)
= 2(315)
= 630 square centimeters

(c) Given that the density of the material used to make the cuboid is 7.6g/cm^3
, calculate its mass in kilograms.

= (630 *7.6)/1000
=4.788 kg
(d) Determine the number of the such cuboid that can fit exactly in a container measuring 1.5m by 1.2m by 1m.

Answer 1

(d) the cuboid is 15x12x5cm
The container is 1500x1200x1000 cm
so, what do you think?

Answer 2

12*5*15
= 900
150*120*100
=1800000
= 1800000/900
= 2000

Answer 3

Hmmm. You seem to have lost some zeroes.
The container's dimensions (in cuboids) are 100x100x200 = 2,000,000