Arectangular prism has dimensions of 1/2 in, 2 in, and 7/2 in. (a) how many cubes with side lengths of 1/2 in. will fit into the prism? explain your thinking! (b) what is the volume of this prism? show your work!

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answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet