Question

volume

• find the volume of rectangular prisms
• find the volume of prisms that have different

shapes in the base

• find the unknown measurements of prisms
• relate ( mathrm{cm}^{3} ) to ( mathrm{ml} )
• solve problems involving volume and capacity

find the volume (v) of each prism.
1.

v: ( \frac{120}{\text { area of base }} \times \frac{\text { height }}{} )
( = )______ ( left(mathrm{cm}^{3}
ight) )
2.

v:______
( = )______
3.

v:______
( = )______

Explanation:

Step1: Calculate the volume of the first prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the first prism, \(l = 4\space cm\), \(w=5\space cm\), \(h = 6\space cm\).

$$V=4\times5\times6$$

$$V = 120\space cm^{3}$$

Step2: Calculate the volume of the second prism

For the second prism, \(l = 9\space cm\), \(w = 7\space cm\), \(h=12\space cm\)

$$V=9\times7\times12$$

$$V=756\space cm^{3}$$

Step3: Calculate the volume of the third prism

For the third prism, \(l = 10\space cm\), \(w = 6\space cm\), \(h = 15\space cm\)

$$V=10\times6\times15$$

$$V = 900\space cm^{3}$$

Answer:

1. \(120\space cm^{3}\)
2. \(756\space cm^{3}\)
3. \(900\space cm^{3}\)