Question

1. A solid metal cuboid has a volume of 600cm3.

(a) The base of the cuboid is 10cm by 12cm. Calculate the height of the cuboid.
(b) The solid metal cuboid is melted and made into 1120 spheres, each with radius 0.45cm. Find the volume of metal not used in making these spheres.​

Answer 1

(a) The height of the cubiod is 5cm.

(b) The volume of metal not used in making these spheres is 172cm^3.

Explanation:

(a) 12*10= 120

600/120= 5cm

(b) volume of 1120 spheres= (4/3*π*0.45^3)(1120)

= 428cm^3 (to 3 s.f.)

600-428= 172cm^3