Question

Mia found the volume of a rectangular prism to be 840 mm3. As she was telling her father about it. she remembered that the base had a length of 10 mm and a width of 12 mm, but she could not remember the height maybe there is a way you can find it by going backwards . her father suggested. Can you help Mia find the height of her prism. Explain your solution.

Answer 1

H = 7mm

Explanation:

Height of Prism

So to calculate the height, multiply L · H · W. But since there is no height we will multiply what is given and then divide the volume by the product. For this case, the volume of the prism is 840 and its length is 10 and its width is 12. Multiply 10 and 12 then dividing 840 by 120. The height of the prism is 7.

Solve

Volume if the rectangular prism is given by the formula

V = L · H · W

Length, Height, Width of the prism

L = 10mm H = 12mm Volume = 840mm³

10 · 12 · h = 840

∴ 840 ÷ 120 = 7

H = 7mm