Answer:
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
