Question

Could you guys please help me with these questions I give thanks

Answer 1

Triangular Prism:


`\sf~V=(1)/(2)*~l*~w*~h`


`\sf~V=(1)/(2)*7*3*3`


`\sf~V=3.5*3*3`


`\sf~V=10.5*3`


`\sf~V=31.5`

Break the Trapezoidal Prism into a rectangular prism with side measurements of 12, 18, and 6 and into a triangular prism with measurements of 6, 16, and 12.

Rectangular Prism:


`\sf~V=lwh`


`\sf~V=(12)(18)(6)`

Multiply all 3 numbers together:


`\sf~V=1296`

Now find the volume of the triangular prism:


`\sf~V=(1)/(2)lwh`


`\sf~V=(1)/(2)(6)(16)(12)`

Multiply all 4 numbers:


`\sf~V=576`

Add the two volumes together:


`\sf1296+576=1872`

Now we have to get rid of the area inside.

It's two rectangles both with lengths of 12 and widths of 6.


`\sf~A=lw`


`\sf~A=(12)(6)`


`\sf~A=72`

Multiply by 2 then subtract from the total volume we got:


`\sf~72*2 = 144`

Subtract it:


`\sf1872-144=1728`