Problema Solution
A right rectangular prism has edge lengths of 2 1/2 inches, 3 inches, and 3 1/4 inches. Determine how many cubes with edge lengths of 1/4 inch would be needed to fill the prism.
Answer provided by our tutors
A right rectangular prism is a solid geometric figure, hence it would be divided into cubes of 1/4 in each dimension.
we want to express the prism in 1/4 inches
2 1/2 inches = 10/4 inches
3 inches = 12/4 inches
3 1/4 inches = 13/4 inches
Convert the prism into the dimension of a cube (1/4 x 1/4 x 1/4) by dividing each dimension by 1/4 and the length, width and height counts of cubes are multiplied together:
(10/4)/(1/4) * (12/4)/(1/4) * (13/4)/(1/4)
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1560
1560 would be needed to fill the prism