Question

Select the figures with a volume greater than 400 cubic centimeters. 6 cm 14 cm 5 cm 5 cm 3 cm 14 cm 12 cm 10 cm HA 15 cm 5 cm 9 cm

Answer 1

- The solution steps are given below:

`\begin{gathered} \text{ The rectangular prism:} \\ V=lwh=6*14*5=420>400 \\ \\ \text{ The Cylinder:} \\ V=\pi* r^2* h=\pi*3^2*14\approx395.8406...<400 \\ \\ \text{ The Cone:} \\ V=(1)/(3)*\pi* r^2* h=(1)/(3)*\pi*5^2*15=392.699...<400 \\ \\ \text{ The Sphere:} \\ V=(4)/(3)\pi* r^3=(4)/(3)*\pi*5^3=523.59877;...>400 \\ \\ \text{ The Pyramid:} \\ V=(lwh)/(3)=(10*9*12)/(3)=360<400 \end{gathered}`

Final Answer

The only figures with volumes greater than 400 are:

- The Rectangular Prism

- The Sphere.