Question

Find the number of wooden box of dimensions 8m x 100cm x 60cm that can be stored in a tank which is 32m long, 8.5 m wide and 6m deep​???
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Answer 1

★QuestioN :

✦Find the number of wooden box of dimensions 8m x 100cm x 60cm that can be stored in a tank which is 32m long, 8.5 m wide and 6m deep​?

★GiveN :

• Dimensions of wooden box = 8m × 100 cm × 60 cm
• Dimensions of tank = 32m × 8.5m × 6m

★To FiNd :

• How many wooden boxes can be stored in the tank.

★ANswer :

❖The number of boxes that can be stored in the tank is 340.

★SolutioN :

From given we can see that the dimensions of wooden box are not in same units. We first need to convert all the dimensions into metres.

Dimensions of box,

Length = 8m

Breadth = 100cm = 100/100 m = 1m

Height = 60cm = 60/100 m = 0.6m

Now ,

✭ Volume of cuboid = (Length × Breadth × Height) cu.units.

Hence,

Volume of wooden box = 8 × 1 × 0.6 = 4.8 m³

∴ Volume of the wooden box is 4.8 m³

Dimensions of tank,

Length = 32m

Breadth = 8.5m

Height = 6m

Volume of the tank = 32 × 8.5 × 6 = 1632 m³

∴ The volume of the tank is 1632 m³.

Now,

If we divide the volume of tank by the volume of wooden box, then we will get the number of wooden boxes that can be stored in the tank.

Hence,

Number of wooden boxes = (Volume of tank)/(Volume of wooden box)

⇒ No. of boxes = 1632/4.8

⇒ No. of boxes = 340

∴Hence, The number of boxes that can be stored in the tank is 340.

Answer 2

Answer:

$volume \: of \: wooden \: box \: = (8 \times 1 \times 0.6)m ^3 \\ = 4.8m {}^3 \\ volume \: of \: tank \: = (32 \times 8.5 \times 6)m ^3 \\ = 1632m^3 \\ no. \: of \: wooden \: boxes = volume \: of \: tank \: \div volume \: of \: wooden \: box \: \\ = 1632 \div 4.8 \\ = 340 \: \:$

no. of wooden boxes are 340