Question

A solid rectangular piece of iron measures 1.05m × 70cm × 1.5cm. Find the weight of this piece in kilograms if $1c{{m}^{3}}$ of iron weighs 8 grams.

Answer 1

Hint:Now we know that 1m = 100cm. Hence we can convert the dimension in cm. Now we know that volume of cuboid is given by length × breadth × height. Hence we can find the volume of cuboid. Now we know that weight of $1c{{m}^{3}}$ is 8 grams. Hence volume × weight will give us total weight.

Complete step by step answer:
Now we know that the dimensions of cuboid is 1.05m × 70cm × 1.5cm.

Now we know that 1m = 100cm. Hence we can write the dimensions as 105cm × 70cm × 1.5cm.
Now we can write.
Length = 105cm, breadth = 70cm and height = 1.5cm
Now let us find Volume of cuboid.
Volume of cuboid are given by length × breadth × height.
Hence using this formula we get the volume of given cuboid is
$=105\times 70\times 1.5$
$=105\times 105$
$=11025$
Hence the volume of cuboid is 11025 cubic cm.
Now we know that 1 cubic cm is 8 grams. Hence we can say 11025 cubic cm will weigh$11025\times 8$ grams = 88200 grams
Now we know that 1000 grams is 1 kg
Hence 88200 grams is 88.2kg
Hence we can say that the weight of the solid rectangular piece of iron which measures 1.05m × 70cm × 1.5cm is 88.2kg
Note:
 Note that in the given dimensions we have length in meters but breadth and height in centimeters. Hence we will have to convert length to centimeters before calculating volume.