Rectangular prism container hold s about 1320ml of water. It's length,width and height are consecutive whole numbers.One of its dimensions is 10cm what are the dimensions of the prism?

The dimensions of the prism are

10, 11 and 12

Step-by-step explanation:

The volume of the rectangular prism is 1320ml

1 ml = 1 cm^3

Therefore volume is:

V = 1320 cm^3

The volume of a rectangular prism is

V = L × W × H

Since It's length, width and height are consecutive whole numbers. And One of its dimensions is 10cm. Then

1320 = 10 ×( n +1) (n+2) (1)

n^2 + 3n + 2 = 132

n^2 + 3n - 130 = 0

Factorise

(n - 10)(n + 13) = 0

n = 10 or -13

Since it is positive, ignore -13

n = 10

Substitute n in equation 1

1320 = 10 × 11 × 12

The dimensions of the prism are

10, 11 and 12

Are you familiar with that?