Question

Tina has a box in the shape of a rectangular prism. The box has a length of 30 inches, a height of 20 inches, and a width of 10 inches.

Tina buys another box in the shape of a rectangular prism. The new box has a length of 60 inches, a height of 20 inches, and a width of 10 inches.

A. What is the volume, in cubic inches, of the first box that Tina had?

B. Explain how you know how many times greater the volume of the new box is compared to the volume of the old box without finding the volume of the new box. As part of your explanation, give the number of times greater the volume of the new box is compared to the volume of the old box.

Answer 1

So volume is length times width times height. So the first box is 30x20x10. This equals 6000. The second box is 60x20x10 which equals 12000. 

a. The volume, in cubic inches, of the first box that Tina had was 6000 cubic inches. 

b. I know how many times greater the volume of the new box is compared to the volume of the old box without finding the volume by comparing the dimensions. 60 is 2 times bigger than 30 meaning the second box is twice as large.

Hope this helps!