Question

4.7 volume of prisms and cylinders
find the volume of each rectangular prism. formula: v = bh or v = lwh
a.
3 cm
3 cm
3 cm
b.
25 cm
20 cm
4 cm
c.
3 feet
6 feet
2 feet
a. cm³
b. cm³
c. ft³

Explanation:

Step1: Identify length, width and height for a

For the first rectangular - prism, $l = 3$ cm, $w = 3$ cm, $h = 3$ cm.

Step2: Calculate volume using formula

Using $V = lwh$, we have $V=3\times3\times3 = 27$ $cm^{3}$.

Step3: Identify length, width and height for b

For the second rectangular - prism, $l = 25$ cm, $w = 20$ cm, $h = 4$ cm.

Step4: Calculate volume using formula

Using $V = lwh$, we have $V = 25\times20\times4=2000$ $cm^{3}$.

Step5: Identify length, width and height for c

For the third rectangular - prism, $l = 6$ ft, $w = 3$ ft, $h = 2$ ft.

Step6: Calculate volume using formula

Using $V = lwh$, we have $V=6\times3\times2 = 36$ $ft^{3}$.

Answer:

a. $27$ $cm^{3}$
b. $2000$ $cm^{3}$
c. $36$ $ft^{3}$