Elizabeth and Virat use small cubes to make the rectangular prism as show below . The length of each edge of the small cubes is 1/4 centimeter . Elizabeth uses a volume formula to find that the volume of the prism is 1 41/64 cubic centimeters . Virat decides to count the cubes to find the volume of the prism . how many small cubes with edge length 1/4 cenimeter does it take to make the prism?

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step-by-step explanation:

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solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.