Question

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.​

Answer 1

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