Rectangular prism container holds about 1320 ml of water. Its length, width, and height are consecutive whole numbers. One of its dimensions is 10cm. What are the dimensions of the prism

3 answers

V = L ∙ W ∙ H = 1320 mL

where:

V = Volume

L = Length

W = Width

H = Height

1 mL = 1 cm³

so

V = 1320 cm³

L ∙ W ∙ H = 1320 cm³

Consecutive whole numbers, including 10 can be:

8 , 9 , 10

9 , 10 , 11

10 , 11 , 12

8 cm ∙ 9 cm ∙ 10 cm = 720 cm³

9 cm ∙ 10 cm ∙ 11 cm = 990 cm³

10 cm ∙ 11 cm ∙ 12 cm = 1320 cm³

The dimensions are:

10 cm x 11 cm x 12 cm
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