Question

. Find the volume of wood required to make a top
open box of dimensions 15 cm by 12 cm by 8 cm
and the thickness of the wood is 1 cm.​

Answer 1

Step-by-step explanation:

The outer volume is 17.5 x 14 x 10 cm^3 = 2450 cm^3 Assuming it is open on the top, the open space is (length - 2 * thickness) * (width - 2 * thickness) * ( height - thickness) Notice 7.5 mm = 0.75 cm and 2 x 7.5 mm = 1.5 cm Open space = (17.5 - 1.5 ) ( 14 - 1.5 ) (10 - 0.75) = 16 * 12.5 * 9.25 = 1850 cm^3 The volume of wood is 2450 - 1850 = 600 cm^3....

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Answer 2

Answer:

Step-by-step explanation:

volume of wood required = volume of hollow cuboid (as it is a box) - volume of top

if we talk about dimensions of inner cuboid then we will decrease 2cm from the each dimension of outer cuboid because thickness of the cuboid is 1cm.

so we know dimensions of outer cuboid are

l = 15

b= 12

h = 8

and we've found dimensions of inner cuboid as

l=15-2 = 13

b=12-2 = 10

h=8-2= 6

volume of hollow cuboid =

volume of outer cuboid- volume of inner cuboid

15 x 12 x 8 - 13 x 10 x 6

1440 - 780

660

now volume of top =

now of course if u will subtract the top of outer cuboid automatically volume of walls will decrease but we only want to subtract top

so volume of top = volume of top of inner cuboid

= 13 x 10 x 1

= 130

now finally volume of wood required is 660- 130. = 530 cm³

I know that answer can be wrong but still tried