Question

Select all the correct figures.Select the figures with a volume greater than 400 cubic centimeters.

Answer 1

1 and 4

Hope this helps!

Explanation:

Answer 2

Volume of figure 1

The figure is a Cuboid

The formula for the volume of a cuboid is,

`V=lwh`

Given:

`l=14cm,w=5cm,h=6cm`

Therefore,

`\begin{gathered} V=14*5*6=420 \\ \therefore V=420cm^3 \end{gathered}`

Volume of figure 2

The figure is a Cylinder.

The formula for the volume of a cylinder is,

`V=\pi r^2h`

Given:

`r=3,h=14`

Therefore,

`\begin{gathered} V=(22)/(7)*3*3*14=22*3*3*2=396 \\ \therefore V=396cm^3 \end{gathered}`

Volume of figure 3

The figure is a Cone

The formula for the volume of a cone is,

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

Given:

`r=5,h=15`

Therefore,

`\begin{gathered} V=(1)/(3)*\pi*5^2*15=392.69908 \\ \therefore V=392.69908cm^3 \end{gathered}`

Volume of figure 4

The figure is a Sphere

The formula for the volume of a sphere is,

`V=(4)/(3)\pi r^3`

Given:

`r=5`

Therefore,

`\begin{gathered} V=(4)/(3)*\pi*5^3=523.59878 \\ \therefore V=523.59878cm^3 \end{gathered}`

Volume of figure 5

The figure is a Rectangle-based pyramid

The formula for the volume of a rectangle-based pyramid is,

`V=(1)/(3)lwh`

Given:

`l=10cm,w=9cm,h=12`

Therefore,

`\begin{gathered} V=(1)/(3)*10*9*12=360 \\ \therefore V=360cm^3 \end{gathered}`

Hence, the figures with a volume greater than 400 cubic centimeters are

`\begin{gathered} Figure\text{1\lparen Cuboid\rparen with the volume of 420cm}^3 \\ Figure4\text{ \lparen Sphere\rparen with the volume of 523.59878}cm^3 \end{gathered}`