Asked by Mohammad
I am having trouble with this question. I have no idea what to do.
A miniature box used a scale model of a building of a shape of a right rectangular prism. The prism has edge lengths of 2 1/2 inches, 2 1/8 inches, and 1 inch. How many cubes with side lengths of 1/8 inch would be needed to fill the prism?
What is the volume of the prism? Show your work.
A miniature box used a scale model of a building of a shape of a right rectangular prism. The prism has edge lengths of 2 1/2 inches, 2 1/8 inches, and 1 inch. How many cubes with side lengths of 1/8 inch would be needed to fill the prism?
What is the volume of the prism? Show your work.
Answers
Answered by
Scott
the prism is 20 cubes by 17 cubes by 8 cubes
cubes = 20 * 17 * 8
vol = 2 1/2 * 2 1/8 * 1 in^3
cubes = 20 * 17 * 8
vol = 2 1/2 * 2 1/8 * 1 in^3
Answered by
Bosnian
( 2 1 / 2 ) / ( 1 / 8 ) = 2.5 / 0.125 = 20
( 2 1 / 8 ) / ( 1 / 8 ) = 2.125 / 0.125 = 17
1 / ( 1 / 8 ) = 1 / 0.125 = 8
20 * 17 * 8 = 2720 cubes
OR
Volume of a right rectangular prism:
V = 2 1/2 * 2 1/8 * 1 = 2.5 * 2.125 * 1 = 5.3125 in ^ 3
Volume of a cube:
V = ( 1 / 8 ) ^ 3 = 0.125 ^ 3 = 0.001953125 in ^ 3
5.3125 / 0.001953125 = 2720 cubes
( 2 1 / 8 ) / ( 1 / 8 ) = 2.125 / 0.125 = 17
1 / ( 1 / 8 ) = 1 / 0.125 = 8
20 * 17 * 8 = 2720 cubes
OR
Volume of a right rectangular prism:
V = 2 1/2 * 2 1/8 * 1 = 2.5 * 2.125 * 1 = 5.3125 in ^ 3
Volume of a cube:
V = ( 1 / 8 ) ^ 3 = 0.125 ^ 3 = 0.001953125 in ^ 3
5.3125 / 0.001953125 = 2720 cubes
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