Question

Find the volume of the following shapes. Round to tenths and don’t forget the units. Show your work!

please help thx

Answer 1

Explanation:

1). Figure (1) comprises two cuboids, one small cuboid placed on the big cuboid at the bottom.

Volume of the figure = Volume of the cuboid on the top + Volume of the cuboid at the bottom

Volume of the cuboid on the top = Length × Width × Height

= 4 × 6 × 5

= 120 mm³

Volume of the cuboid at the bottom = Length × Width × Height

= 9 × 6 × 4

= 216 mm³

Volume of the figure = 120 + 216

= 336 mm³

2). Figure shown in the picture has two parts,

Cone placed on the top of a cylinder.

Volume of the given figure = Volume of cone + Volume of cylinder

=
`(1)/(3)\pi r^(2)h+\pi r^(2)h'`

=
`(1)/(3)\pi ((3)/(2))^(2)(3)+\pi ((3)/(2))^(2)(8.1)`

=
`(9)/(4)\pi +18.225\pi`

=
`(2.25+18.225)\pi`

=
`20.475\pi`

= 64.3 ft³

Therefore, volume of the given figure = 64.3 ft³.