Answer: The dimensions of the prism are
10, 11 and 12
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