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3 years ago

NEED HELP ASAP!!!! Will give brainliest!!!

Mathematics

1 answer:

iris [78.8K]3 years ago

3 0

224 cubes. Are needed 224 cubes with side lenghts of 1/4 cm to fill the prism.

The key to solve this problem is calculate the volume of both the cube and the prism.

Vcube = l³

Vprism = l*w*h

Where l is lenght, w is width, and h is height.

Vcube = (1/4 cm)³ = 1/64 cm³

Vprism = (2 cm)(7/4 cm)(1 cm) = 7/2 cm³

Calculating how many cubes does it takes to fill the prism:

Cubes = Vprism/Vcube = (7/2 cm³)/(1/64 cm³) = 448/2 = 224

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