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Find the volume please

Find The Volume Please class=

Sagot :

genmad

Answer:

2040cu.in

Step-by-step explanation:

first,

Given,. l= 10 in

b = 12 in

h = 20 in.

volume of whole fig with hollow part. = l X b X h

=. (10* 12 * 20)cu.in

= 2400 cu.in

and

volume by hollow part =( l-5)* b* (h- 14)

= (10-5)* 12* ( 20- 14)

=. 5 * 12 * 6

= 360 cu.in

Now ,

Volume of the given figure

= 2400 cu.in.- 360 cu.in

= 2040 cu.in

Answer:

Here maximum height = 20 in.

maximum length = 12 in.

maximum width = 10 in.

assume that it is a rectangular solid,

so the volume would be

= 20*12*10 [tex]in.^{3}[/tex]

= 2400 [tex]in.^{3}[/tex]

but we have to substrace upper portion

the length of the upper portion = 12 in.

the length of the upper portion = (10-5)in. = 5 in.

and height = (20-14)in. = 6 in.

so the volume of the missing portion

= 6*12*5 [tex]in.^{3}[/tex]

= 360 [tex]in.^{3}[/tex]

so the actual volume

= (2400-360) [tex]in.^{3}[/tex]

= 2040 [tex]in.^{3}[/tex]

answer : 2040 [tex]in.^{3}[/tex]