Question

the weight of a metallic cuboid is 11.2kg. its width is 28cm and length is 32cm.If 1cm³ of metal weighs 2.5g find the height of a cuboid​

Answer 1

Answer: 5cm

Step-by-step explanation:

Let the height of the cuboid be h.

Volume of cuboid = lbh where l is length, b is breadth and h is height.

From given information;

Volume of cuboid, V = (32)(28)(h) cc (cc means cubic centimetre, aka cm^3)

Density = Mass/Volume, so Volume = Mass/Density.

Volume of cuboid = (11200g)/(2.5g/cc) = 4480cc.

So, (32)(28)(h) = 4480

h = $\frac{4480}{32\cdot28}$ = 5cm.