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jeyben [28]
3 years ago
13

Otto is sitting on 10 blocks of gold. The blocks are in the shape of right trapezoidal prisms. The trapezoidal base of the prism

has bases of 10 inches and 7 inches with a height of 8 inches. The lateral edge of the prism is 19 inches.
a) Upon how many total cubic inches of gold is he sitting?
b) Determine the worth of Otto's gold based upon the gold pricing of $13,067.76 per troy pound. Utilize the following information:
• there are 1728 cubic inches in 1 cubic foot.
• there are 1,206.83 pounds of gold in 1 cubic foot.
• there are 0.82 pounds in 1 troy pound.
Mathematics
1 answer:
never [62]3 years ago
3 0
Tne znswer ks gonna be 9450 and your welcome
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=============================================================

Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

----------------------

Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

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