1. A rectangular prism is 9 cm long, 7 cm wide, and 5 cm high. What is its volume?
Answer: 315 cm³
Solution:
In finding the volume of a rectangular prism using the formula V = length × width × height or V = lwh to get the answer.
- [tex] \longrightarrow\rm{V = lwh}[/tex]
- [tex] \longrightarrow\rm{V = (9cm)(7cm)(5cm)}[/tex]
- [tex] \longrightarrow\rm{V = \green{315cm^3}}[/tex]
[tex]\therefore[/tex] the volume of a rectangular prism is 315cm³
2. A building is 16 m long and 9 m wide. it has a volume of 3,312m³. How tall is the building?
Answer: 23m
Solution:
Multiply the length and width then divide it by the volume to get the answer.
- [tex] \longrightarrow \rm{h = \frac{length \times width}{volume}}[/tex]
- [tex] \longrightarrow \rm{h = \frac{16m \times 9m}{3312m^3}}[/tex]
- [tex] \longrightarrow \rm{h = \frac{144m}{3312m^3}}[/tex]
- [tex] \longrightarrow \rm{h = \green{23m}}[/tex]
[tex]\therefore[/tex] the building is 23 m long.
To check
- [tex] \longrightarrow \rm{V = lwh}[/tex]
- [tex] \longrightarrow \rm{V = (16m)(9m)(23m)}[/tex]
- [tex] \longrightarrow \rm{V = \green{3312m^3}}[/tex]
Thus, the answer is correct!
3. Look for a rectangular prism around you. Get a tape measure or a ruler to measure its length, width, height.
a. (kindly check the photo above!)
b. Do you think this item will fit in a box that is 20 cm long, 20 cm wide, 50 cm tall? Why or why not?
- Yes! because, the rectangular speaker is 7 cm long, 5 cm wide, and 4 cm high.
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