Answer:
14400 cubic inches.
Step-by-step explanation:
Let l, b and h are length, breadth and height of a cuboid respectively, then
[tex]V=l\times b\times h[/tex]
If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.
[tex]V_1=kl\times kb\times kh[/tex]
[tex]V_1=k^3(l\times b\times h)[/tex]
[tex]V_1=k^3V[/tex] ...(i)
It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.
Substitute k=2 and V=1800 in equation (i).
[tex]V_1=2^3(1800)[/tex]
[tex]V_1=14400[/tex]
Therefore, the volume of required sink is 14400 cubic inches.
Answer:
The volume is 14,000
Step-by-step explanation:
v= 2 to the power of 3 times 1800
so 8 x 1800=14,400
Hope this helps!!
