Question

The dimensions of an box are 50cm, 40cm and 23cm and its thickness is 3cm. If 1 cubic cm of metal used in the box weighs 0.5 grams, find the weight of the box.​

Answer 1

$\huge{ \text{ Given}}$

• The dimensions of an box are 50cm, 40cm and 23cm and its thickness is 3cm.

$\huge{ \underline{ \text{To \: find}}}$

• If 1 cubic cm of metal used in the box weighs 0.5 grams, find the weight of the box.

$\huge{ \underline{ \underline{ \text{✤Solution}}}}$

We know that,

$\boxed{ \sf{ \blue{Volume \: of \: a \: box = l \times b \times h}}}$

Hence,

The outer volume of the box

= (50 × 40 × 23) cubicle cm

= 46000 cubic cm

Now,

Given that, the thinness of the box is 3cm

Hence,

Inner lenght of the box = 50-2×3 cm = 44cm

Inner breadth of the box = 40 -2×3 cm = 34cm

Inner height of the box = 23 - 3 cm = 20cm

Hence,

The volume of the inner space of the box is

= (44 × 34 × 20) cubic cm

= 29920cubic cm.

The volume of the metals

= Outer volume of the box - inner volume of the box

= (46000 - 29920) cubic cm.

= 16,080 cubic cm

Now,

The weight of the box

= (16080 × 0.5)g

= 8040g

= 8.04 kg

Hence, the weight of the box is 8.04kg

❖Hope this helps you!!