Pure gold is formed into bricks that are right trapezoidal prisms. The dimensions of a gold brick are shown. What is the volume of the gold brick? Show your work.

Question

asked Jan 15, 2023 217k views

1 Answer

Michal Mau · Answer 1 · 2023-01-20T15:33:36+0000

Answer:

volume of gold: 40.5 in³

Step-by-step explanation:

$\sf Volume \ of \ trapezoid: area \ of \ base \ * \ length$

Here the area of base:

$\sf (1)/(2) *(base \ 1 + base \ 2 ) * height$

$\sf (1)/(2) *(3.2 + 2.2) * 1.5$

$\sf (1)/(2) *(5.4) * 1.5$

$\sf 4.05$

Volume:

area of base * length

4.05 * 10

40.5 in³