Question

A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2

Answer 1

The volume is 14,000

Explanation:

v= 2 to the power of 3 times 1800

so 8 x 1800=14,400

Hope this helps!!

Answer 2

14400 cubic inches.

Explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

`V=l* b* h`

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.

`V_1=kl* kb* kh`

`V_1=k^3(l* b* h)`

`V_1=k^3V` ...(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).

`V_1=2^3(1800)`

`V_1=14400`

Therefore, the volume of required sink is 14400 cubic inches.