Nadya filled a right rectangular prism with cubes that are 1/2 inch long each edge. She stacked 80 cubes in the prism and filled it to capacity. What is the volume of the prism?

Answer

Step-by-step explanation:

The volume of cube

each edge of cube inch

so,

the volume of cube

one cube of  volume cubic inch.

cube of volume cubic inch

so the volume of rectangular prisme equal to volume of 80 cube.

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.