The figure (triangular prism) below has a height of 18 inches and a volume of 864 cubic inches. What is the area of the base of the figure? A. 7776 in B. 48 in C. 24 in D. 162 in

The answer is B.

Step-by-step explanation:

It is given that the formule of volume of prism is V = a × h where a stands for area of cross-section. Then, substitute the following value into the formula :

V = 864 in³

h = 18 in

a = ?

864 = a × 18

Next, you have to make a as the subject by dividing 18 on both sides :

864 ÷ 18 = a × 18 ÷ 18

48 = a

a = 48 in²

understand that i don't know the answers

will someone answer his question

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.