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dolphi86 [110]
3 years ago
14

How many cubic blocks with a side length of 1/8 inch are needed to fill a rectangular prism with a length, width, and height of

3/4 inch 1/2 inch, and 1/2 inch, respectively?
Mathematics
1 answer:
forsale [732]3 years ago
6 0

volume of cube is V=S^3

so 1/8 = 0.125 = 0.125^3 = 0.00195 in^3

volume of rectangle

V= l x w x h = 0.75*0.5*0.5 = 0.1875 in^3

0.1875/0.00195 = 96.15 round to 96 blocks

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Answer:

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Remember the relation:

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we can write:

tan(40°) = H/X

tan(45°) = (H + h)/X

Notice that we have two equations and 3 variables (we should have the same number of equations than variables) then here is missing information, and we can't get an exact solution for the height of the flagpole.

But we can write it in terms of the height of the cliff H, or in terms of the distance between the observer and the cliff.

We want to find the value of h.

If we take the quotient between both equations, we get:

Tan(45°)/Tan(40°) = (H + h)/H

1.192 = (H + h)/H

1.192*H = H + h

1.192*H - H = h

0.192*H = h

So the height of the flagpole is 0.192 times the height of the cliff.

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