Answer :
To find the volume of a right rectangular prism, you multiply its length, width, and height. The problem states that the dimensions of the Cheerios box are 18 inches in length, 9 inches in width, and 2.5 inches in height.
Step-by-step solution:
1. Identify the dimensions of the prism:
- Length ([tex]\( l \)[/tex]) = 18 inches
- Width ([tex]\( w \)[/tex]) = 9 inches
- Height ([tex]\( h \)[/tex]) = 2.5 inches
2. Apply the formula for the volume of a rectangular prism:
[tex]\[ \text{Volume} = l \times w \times h \][/tex]
3. Substitute the given dimensions into the formula:
[tex]\[ \text{Volume} = 18 \, \text{in} \times 9 \, \text{in} \times 2.5 \, \text{in} \][/tex]
4. Calculate the product:
[tex]\[ \text{Volume} = 405 \, \text{in}^3 \][/tex]
Thus, the volume of the Cheerios box is [tex]\( 405 \, \text{in}^3 \)[/tex].
However, the choices provided seem to give units of square inches (in²), which is incorrect for volume. Correcting this, the volume should be measured in cubic inches (in³), and the correct volume of the box, based on the choices, is:
None of the provided answers (A, B, C, D) are correct as they all indicate square inches rather than cubic inches. The definitive volume, presented correctly, is [tex]\( 405 \, \text{in}^3 \)[/tex].
But given the format of the choices and the likely typographical error in unit representation:
- Correct answer should read:
- [tex]\( 405 \, \text{in}^3 \)[/tex].
Step-by-step solution:
1. Identify the dimensions of the prism:
- Length ([tex]\( l \)[/tex]) = 18 inches
- Width ([tex]\( w \)[/tex]) = 9 inches
- Height ([tex]\( h \)[/tex]) = 2.5 inches
2. Apply the formula for the volume of a rectangular prism:
[tex]\[ \text{Volume} = l \times w \times h \][/tex]
3. Substitute the given dimensions into the formula:
[tex]\[ \text{Volume} = 18 \, \text{in} \times 9 \, \text{in} \times 2.5 \, \text{in} \][/tex]
4. Calculate the product:
[tex]\[ \text{Volume} = 405 \, \text{in}^3 \][/tex]
Thus, the volume of the Cheerios box is [tex]\( 405 \, \text{in}^3 \)[/tex].
However, the choices provided seem to give units of square inches (in²), which is incorrect for volume. Correcting this, the volume should be measured in cubic inches (in³), and the correct volume of the box, based on the choices, is:
None of the provided answers (A, B, C, D) are correct as they all indicate square inches rather than cubic inches. The definitive volume, presented correctly, is [tex]\( 405 \, \text{in}^3 \)[/tex].
But given the format of the choices and the likely typographical error in unit representation:
- Correct answer should read:
- [tex]\( 405 \, \text{in}^3 \)[/tex].
