Rectangle prism container holds about 1,320mL of water. It's length, width, height are consecutive whole numbers. One of it's dimension is 10cm. What are the dimension of the prism?

the dimensions of the rectangular prism are;

10cm, 11cm, 12cm

Step-by-step explanation:

The formula for volume of a rectangular prism is;

V = L x w x h

Where;

V = Volume

L = Length

w = width

h = height.

We are given;

volume = 1320 mL

From conversion, 1mL = 1cm³

Thus, volume; v = 1320 cm³

A dimension = 10 cm

We don't know whether this is the length, height or width.

Let's assume this is the Length.

Thus,

10 x w x h = 1320 cm³

Divide both sides by 10 to give;

wh = 1320/10

wh = 132 cm²

Now, we are told that length, width and height are consecutive whole numbers.

Thus, the possible numbers could be;

8,9,10 or 9, 10, 11 or 10,11,12

From all these, the only one gives a product of 1320cm³ are 10, 11 and 12

Thus, the dimensions of the rectangular prism are;

10cm, 11cm, 12cm