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

Solution

- The solution steps are given below:

$\begin{gathered} \text{ The rectangular prism:} \\ V=lwh=6\times14\times5=420>400 \\ \\ \text{ The Cylinder:} \\ V=\pi\times r^2\times h=\pi\times3^2\times14\approx395.8406...<400 \\ \\ \text{ The Cone:} \\ V=\frac{1}{3}\times\pi\times r^2\times h=\frac{1}{3}\times\pi\times5^2\times15=392.699...<400 \\ \\ \text{ The Sphere:} \\ V=\frac{4}{3}\pi\times r^3=\frac{4}{3}\times\pi\times5^3=523.59877;...>400 \\ \\ \text{ The Pyramid:} \\ V=\frac{lwh}{3}=\frac{10\times9\times12}{3}=360<400 \end{gathered}$

Final Answer

The only figures with volumes greater than 400 are:

- The Rectangular Prism

- The Sphere.