Question

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?​

Answer 1

the dimensions of the rectangular prism are;

10cm, 11cm, 12cm

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