Question

The outer dimension of a closed box are 43cm 35cm and 20cm.If the box is made of wooden plank 1.5 cm thick.Find 1) the capacity of the box 2) the volume of wood used and 3) the cost of wood at rs 15 per cubic decimetre

Answer 1

outer dimension = 42 × 30 × 20
outer volume = 25200 cm^3

thickness = 1 cm
inner dimension = 40 × 28 × 18
inner volume = 40×28×18 cm^3

volume of wood = outer volume - inner volume


Do the calculation yourself!

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Answer 2

Given that the wooden plank is 1.5 cm thick

Find the inner dimensions:

Length = 43 - 1.5 - 1.5 = 40 cm

Breadth = 35 - 1.5 - 1.5 = 32 cm

Height = 20 - 1.5 - 1.5 = 17 cm

Find the capacity of the box:

Volume = Length x Breadth x Height

Inner volume = 40 x 32 x 17 = 21760 cm³

Find the volume of the wood:

Volume = Length x Breadth x Height

Outer volume = 43 x 35 x 20 =30100 cm³

Inner volume = 21760 cm³

Volume of the wood = 30.100 - 21,760 = 8340 cm³

Convert 1 dm³ to cm³:

1 dm = 10 cm

(1 dm)³ = (10 cm)³

1 dm³ = 1000 cm³

Find the cost :

1 dm³ = Rs 15

1000 cm³ = Rs 15

8340 cm³ = 8340/1000 x 15

8340 cm³ = Rs 125.10

Answer: (1) 21760 cm³ (2) 8340 cm³ (3) Rs 125.10