• Question 6.
Let's find the volume of the following shapes.
(i) We are to find the volume of the rectangular box.
Given:
Height, h = 9 cm
Width, w = 4 cm
Length, l = 5 cm
To find the volume, apply the formula:
[tex]V=w\ast h\ast l[/tex]Input values into the formula:
[tex]\begin{gathered} V=4\ast9\ast5 \\ \\ \text{ V = 180 cm}^3 \end{gathered}[/tex](ii) We are to find the volume of the cylinder.
Given:
Radius, r = 3 cm
Height, h = 7 cm
To find the volume of the cylinder, apply the formula:
[tex]V=\pi r^2h[/tex]Input values into the formula:
[tex]\begin{gathered} V=\pi\ast3^2\ast7 \\ \\ V=\pi\ast9\ast7 \\ \\ V=\pi\ast63 \\ \\ ^{} \\ \text{ V = 197.9 cm}^3 \end{gathered}[/tex]ANSWER:
[tex]\begin{gathered} \text{ (i) V = 180 cm}^3 \\ \\ \text{ (i}i)V=197.9cm^3 \end{gathered}[/tex]