Answer :
So volume is equal to lengthxwidthxheight. We are given the volume, length, and height. We need to find the width. 3600=30x20xwidth. 3600/(30x20)=6. The width should be 6 cm!
Answer:
6 cm
Step-by-step explanation:
To find the width ([tex] w [/tex]) of the rectangular prism, we can use the formula for the volume of a rectangular prism:
[tex] \textsf{Volume} = \textsf{Length} \times \textsf{Width} \times \textsf{Height} [/tex]
Given that:
- the volume ([tex] V [/tex]) is [tex] 3600 \, \textsf{cm}^3 [/tex],
- the length ([tex] l [/tex]) is [tex] 20 \, \textsf{cm} [/tex], and
- the height ([tex] h [/tex]) is [tex] 30 \, \textsf{cm} [/tex].
we can rearrange the formula to solve for the width ([tex] w [/tex]):
[tex] 3600 = 20 \times w \times 30 [/tex]
Dividing both sides by [tex] (20 \times 30) [/tex]:
[tex] w = \dfrac{3600}{20 \times 30} [/tex]
[tex] w = \dfrac{3600}{600} [/tex]
[tex] w = 6 [/tex]
So, the width of the rectangular prism is [tex] 6 \, \textsf{cm} [/tex].