Question

Find the volume . Round to the nearest tenth

Answer 1

1740 ft³

Explanation:

Volume

= Volume of right triangular prism (upper) + Volume of cuboid (below)

= 1/2L₁B₁H₁ + L₂B₂H₂

= 1/2 x 12 x 10 x 9 + 15 x 10 x 8

= 5 x 108 + 120 x 10

= 540 + 1200

= 1740 ft³

Answer 2

volume: 1740 ft³

`\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism`

`\sf volume\ of \ the \ prism =length * width * height+ \ (1)/(2) * base * height * length`

`\sf volume\ of \ the \ prism =15* 10* 8+ \ (1)/(2) * 9* 12* 10`

`\sf volume\ of \ the \ prism =1200+ 540`

`\sf volume\ of \ the \ prism =1740`